Doron
S Lubinsky, Professor, School
of Mathematics
I. Earned Degrees
1978-1980: Ph.D student at
Witwatersrand University. Thesis Title: Exceptional Sets of Pade
Approximants. Supervisor: Colin Wright.
1977: Bachelor of Science Honours in Applied Mathematics, Witwatersrand
University.
1977: Bachelor of Science Honours in Pure Mathematics, Witwatersrand
University.
1974-1975: Bachelor of Science majoring in Mathematics, Applied Mathematics and
Computer Science, Witwatersrand University.
1973: Bachelor of Science (first year), University of South Africa.
II. Employment History
2001 - Present: Professor, School of
Mathematics, Georgia Institute of Technology
1989 - 2001 Professor, Mathematics Department,
Witwatersrand University.
1989 - 1989: Visiting Professor at University of South
Florida, Tampa, Florida.
1987 - 1989: Part time Professor, Mathematics Department,
Witwatersrand University.
1982 - 1988: Researcher, NRIMS, CSIR, Pretoria.
1985 - 1986: Visiting Professor at University of South
Florida, Tampa, Florida.
1982 - 1982: Visiting lecturer at Witwatersrand University.
1980 - 1982: Postdoctoral fellow at Technion, I.I.T., Haifa,
Israel.
III. Honors and Awards
2012: Fellow of the American Mathematical Society
2010-2015: Research Fellow of African Institute of Mathematical Sciences,.
2008: Geoffrey Eichholz Teaching Award.
2008: Freshman Council Burdell's Professor of the Year Award.
2008: Women in Science and Engineering (WISE) Faculty Teaching Award.
2000: Millenium Medal from the South African Maths Society for Research
1994: Elected a fellow of the Royal Society of South Africa.
1993: Vice-Chancellor's Research Award for 1994 (jointly with U. Ripamonti).
1989: A-rating for research, awarded by the Foundation for Research and
Development.
1986: South African Mathematical Society Award for research in Orthogonal
Polynomials.
1980-1982: Lady Davis Postdoctoral Fellowship at Technion, I.I.T., Israel.
1978-1980: AECI Postgraduate Research Fellowship, Witwatersrand University.
1976-1977: CSIR and Senior Bursaries and Lawenski Scholarship, Witwatersrand
University.
1976-1977: UNICO Medals for best B.Sc. Hons. student (joint award).
1975: William Cullen Medal for best B.Sc. graduate (joint award); Herbert le
May medal for best Applied Maths Major (joint award).
IV. Research, Scholarship and Creative
Activities
A1. Books
1) Strong Asymptotics for Extremal Polynomials Associated with Weights on
(-infinity, infinity) (D.S. Lubinsky and E.B. Saff), Springer Lecture Notes, Vol.
1305, Springer, Berlin, 1988.
2) Strong Asymptotics for Extremal Errors Associated with Erdos-type Weights,
Pitman Research Notes, Vol. 202, Longmans, Burnt Mill, Essex, 1989.
3) Christoffel Functions and Orthogonal Polynomials for Exponential Weights on
[-1,1] (A.L. Levin and D.S. Lubinsky), Memoirs of the Amer. Math. Soc., Vol.
111, No. 535 (146 pages), September 1994.
4) Orthogonal Polynomials for Exponential Weights (A.L. Levin and D.S.
Lubinsky), Canadian Mathematical Monographs Series, Vol. 4, Springer, New York,
2001.
5) Bounds
and Asymptotics for Orthogonal Polynomials for Varying Weights (Eli Levin and
Doron Lubinsky), 170 pages, Springer Briefs in Mathematic Series, 2018.
A2. Refereed Book Chapters
A3. Edited Volumes
1) Chief Guest Editor for the Proceedings of Constructive Functions Tech-04
(appeared as Volume 25 of ETNA).
2) Editor (together with Brian Simanek and Doug Hardin) of "Modern Trends
in Constructive Function Theory", Volume 661(2016) of Contermporary
Mathematics, Proceedings of the Conference in Honor of Ed Saff's 70th Birthday.
B
Refereed Publications and Submitted Articles.
B1. Published and Accepted Journal
Articles and Refereed Conference Proceedings
1) Diagonal Pad'e Approximants and Capacity, Journal of Mathematical
Analysis and Applications, 78 (1980), 58-67.
2) On Non-Diagonal Pade Approximants, Journal of Mathematical Analysis and
Applications, 78 (1980), 405-428.
3) Best Approximation over the Whole Complex Plane (D.S. Lubinsky and O.
Shisha), Journal of Approximation Theory, 36 (1982), 277-293.
4) Divergence of Complex Rational Approximations, Pacific Journal of
Mathematics, 108 (1983), 141-153.
5) Geometric Convergence of Lagrangian Interpolation and Numerical Integration
Rules, Journal of Approximation Theory, 39 (1983), 338-360.
6) On the Largest Zeros of Orthogonal Polynomials for Certain Weights (D.S.
Lubinsky and A. Sharif), Mathematics of Computation, 41 (1983), 199-202.
7) Convergence of Linear and Nonlinear Pad'e Approximants from Series of
Orthogonal Polynomials (D.S. Lubinsky and A. Sidi), Transactions of the
American Mathematical Society, 278 (1983), 333-345.
8) On the Zeros of Some Polynomials that arise in Numerical Quadrature and
Convergence Acceleration (A. Sidi and D.S. Lubinsky), SIAM Journal of Numerical
Analysis, 20 (1983), 400-405.
9) Convergence of Exponential
Interpolation for Completely Bounded Functions (A. Sidi and D.S. Lubinsky),
Journal of Approximation Theory, 39 (1983), 185-201.
10) On Convergence of Rational and Best Rational Approximations, Journal of
Mathematical Analysis and Applications, 98 (1984), 419-434.
11) A Weighted Polynomial Inequality, Proceedings of the American Mathematical
Society, 92 (1984), 263-267.
12) Rates of Convergence of Gaussian Quadrature for Singular Integrands (D.S.
Lubinsky and P. Rabinowitz), Mathematics of Computation, 43 (1984), 219-242.
13) Product Integration of Logarithmic Singular Integrands Based on Cubic
Splines (A. Alaylioglu, D. Eyre and D.S. Lubinsky), Journal of Computational
and Applied Mathematics, 11 (1984), 353-366.
14) Note on Polynomial Approximation of Monomials and Diophantine
Approximation, Journal of Approximation Theory, 43 (1985), 29-35.
15) On Nevai's Bounds for Orthogonal Polynomials Associated with Exponential
Weights, Journal of Approximation Theory, 44 (1985), 86-91.
16) Pade Tables of a Class of Entire Functions, Proceedings of the American
Mathematical Society, 94 (1985), 399-405.
17) Simultaneous Rational Approximation of a Function and its Derivatives (A.L.
Levin and D.S. Lubinsky), Journal of Approximation Theory, 44 (1985), 205-220.
18) Pade Tables of Entire Functions of Very Slow and Smooth Growth,
Constructive Approximation, 1 (1985), 349-358.
19) Estimates of Freud-Christoffel Functions for Some Weights with the Whole
Real Line as Support, Journal of Approximation Theory, 44 (1985), 343-379.
20) Gaussian Quadrature, Weights on the Whole Real Line and Even Entire
Functions with Non-negative Even Order Derivatives, Journal of Approximation
Theory, 46 (1986), 297-313.
21) Convergence of Product Integration Rules for Functions with Interior and
Endpoint Singularities over Bounded and Unbounded Intervals (D.S. Lubinsky and
A. Sidi), Mathematics of Computation, 46 (1986), 229-246.
22) Best Rational Approximation of Entire Functions whose Maclaurin Series
Decrease Rapidly and Smoothly, (A.L. Levin and D.S. Lubinsky), Transactions of
the American Mathematical Society, 293 (1986), 533-546.
23) Freud's Conjecture for Exponential Weights (D.S. Lubinsky, H.N. Mhaskar,
E.B. Saff), Bulletin of the Amer. Math. Soc., 15 (1986), 217-221.
24) Canonical Products and the Weights exp (- | x |?), ? >1, with Applications (A.L. Levin and D.S. Lubinsky), Journal of
Approximation Theory, 49 (1987), 149-169.
25) Weights on the Real Line that admit Good Relative Polynomial Approximation,
with Applications (A.L. Levin and D.S. Lubinsky), Journal of Approximation
Theory, 49 (1987), 170-195.
26) Mean Convergence of Lagrange Interpolation for Freud's Weights with
Application to Product Integration Rules (A. Knopfmacher and D.S. Lubinsky),
Journal of Computational and Applied Mathematics, 17 (1987), 79-105.
27) Quadrature Sums involving pth Powers of Polynomials (D.S. Lubinsky, A. Mate
and P. Nevai), SIAM J. of Math. Anal., 18 (1987), 531-544.
28) A Product Quadrature Algorithm
for Oscillatory Integrals by Hermite Interpolation (A. Alaylioglu and D.S. Lubinsky),
Journal of Computational and Applied Mathematics, 17 (1987), 137-169.
29) Convergence theorems for Rows of Differential and Algebraic Hermite-Pade
Approximants (George A. Baker, Jr. and D.S. Lubinsky), Journal of Computational
and Applied Mathematics, 18 (1987), 29-52.
30) Uniform Convergence of Rows of the Pade Table for Functions with Smooth
Maclaurin Series Coefficients, Constructive Approximation, 3 (1987), 307-330.
31) Orthogonal Polynomials and their Derivatives, II (D.S. Lubinsky, S. Bonan
and P. Nevai), SIAM J. Math. Anal., 18 (1987), 1163-1176.
32) Polynomial Approximation with Exponential Weights (Z. Ditzian, D.S.
Lubinsky, P. Nevai and V. Totik), Acta Math. Hung., 50 (1987), 165-175.
33) Convergence of Pade Approximants for
the Partial Theta Functions and the Rogers-Szego Polynomials (D.S. Lubinsky and
E.B. Saff), Constructive Approximation, 3(1987), 331-361.
34) A Survey of General Orthogonal Polynomials for Weights on Finite and
Infinite Intervals, Acta Applicandae Mathematicae, 10 (1987), 237-296.
35) Markov-Bernstein Inequalities Revisited (D.S. Lubinsky and P. Nevai),
(Chinese) Journal of Approximation Theory and its Applications, 3 (1987),
98-119.
36) A Proof of Freud's Conjecture for Exponential Weights (D.S. Lubinsky, H.N.
Mhaskar and E.B. Saff), Constructive Approximation, 4 (1988), 65-83.
37) Uniform and Mean Polynomial Approximation by Certain Weighted Polynomials,
with Applications (D.S. Lubinsky and E.B. Saff), Constructive Approximation, 4
(1988), 21-64.
38) Freud's Conjecture and Approximation of Reciprocals of Weights by
Polynomials (A. Knopfmacher, D.S. Lubinsky and P. Nevai), Constructive
Approximation, 4 (1988), 9-20.
39) Asymptotic Behaviour of the Ratio of Christoffel Functions for Weights W2and W2g (A. Knopfmacher and D.S. Lubinsky), Journal of Approximation
Theory, 53 (1988), 293-314.
40) Pade Tables of Entire Functions of Very Slow and Smooth Growth II,
Constructive Approximation, 4 (1988), 321-339.
41) Power Series Equivalent to Rational Functions: A Shifting--Origin Kronecker
Type Theorem and Normality of Pade Tables, Numerische Mathematik, 54 (1988),
33-40.
42) Jump Distributions on [-1,1] Whose Orthogonal Polynomials have Leading
Coefficients with Given Asymptotic Behaviour, Proc. AMS, 104 (1988), 516-524.
43) Convergence of Interpolation to Transforms of Totally Positive Kernels, (N.
Dyn and D.S. Lubinsky), Canadian Journal of Mathematics, 40 (1988), 750-768.
44) On Uniform Convergence of Rational, Newton-Pad'e, Interpolants of Type (n,n)
with Free Poles as n -> ?, Numerische Mathematik, 55
(1989), 247-264.
45) Non-Interpolatory Integration Rules
for Cauchy Principal Value Integrals, (P. Rabinowitz and D.S. Lubinsky),
Mathematics of Computation, 53 (1989), 279-295.
46) Sufficient Conditions for
Asymptotics Associated with Weighted Extremal Problems on R, (D.S.
Lubinsky and E.B. Saff), Rocky Mountain Journal of Mathematics, 19 (1989),
261-269.
47) L? Markov and Bernstein Inequalities for Freud
Weights, (A.L. Levin and D.S. Lubinsky), SIAM Journal of Math. Anal., 21(1990),
1066-1082.
48) L? Markov and
Bernstein Inequalities for Erdos Weights, Journal of Approximation Theory,
60(1990), 188-230.
49) Coefficient Bounds in the
Lorentz Representation of a Polynomial (D.S. Lubinsky and Z. Ziegler), Canadian
Math. Bull., 33(1990), 197-206.
50) Rows and Diagonals of the Walsh Array for Entire Functions with Smooth
Maclaurin Series Coefficients, (A.L. Levin and D.S. Lubinsky), Constructive
Approximation, 6(1990), 257-286.
51) The Supremum Norm of Christoffel
Functions for Erdos Weights, (D.S. Lubinsky and T.Z. Mthembu), Journal of
Approximation Theory, 63(1990), 255-266.
52) Non-normality of Continued Fraction
Partial Quotients Modulo Q, (A. Knopfmacher and D.S. Lubinsky), Revista
Colombiana de Matematicas, 24(1990), 179-182.
62) Convergence of Pad'e Approximants for Wynn's Power Series II, (K. Driver
and D.S. Lubinsky), in Colloquia Mathematica Societatis Janos Bolyai,
(Proceedings of Kecskemet Approximation Theory Conference, Hungary) 58(1990):
221-239.
63) Singularly Continuous Measures in Nevai's Class M, Proc. Amer. Math. Soc.,
111(1991), 413-420.
64) Lp Markov-Bernstein Inequalities for Erdos Weights
(D.S.Lubinsky and T.Z.Mthembu), Journal of Approximation Theory, 65(1991),
322-340.
65) Rational versus Polynomial Approximation of Entire Functions (Proceedings
of Erice Conference), IMACS Annals on Computing and Applied Mathematics,
9(1991), 81-86.
66) Markov-Bernstein Inequalities for Erdos Weights, (D.S. Lubinsky and T.Z.
Mthembu), (Proceedings of Erice Conference), IMACS Annals on Computing and
Applied Mathematics, 9(1991), 337-340.
67) On the Density of Generalized Polynomials, (N. Dyn, D.S.Lubinsky, and B.
Shekhtman), Canadian Math. Bull., 34(1991), 202-207.
68) Distribution of Poles of Diagonal Rational Approximants to Functions of
Fast Rational Approximability, Constructive Approximation, 7(1991), 501-519.
69) Convergence of Pade Approximants for Wynn's Power Series I, (K.Driver and
D.S. Lubinsky), Aequationes Mathematicae, 42(1991), 85-106.
70) Irregular Distribution of {n ?}, n =
1,2,3,...,Quadrature of Singular Integrands, and Curious Basic Hypergeometric
Series, (K. Driver, D.S. Lubinsky, G. Petruska and P. Sarnak), Indagationes
Mathematicae, 2(1991), 469-481.
71) Spurious Poles in Diagonal Rational Approximation, n Progress in
Approximation Theory (eds. A.A. Goncar and E.B. Saff), Springer-Verlag, Berlin,
1992, pp. 191-213.
72) Orthogonal Expansions and the Error of Weighted Polynomial Approximation
for Erdos Weights, (D.S. Lubinsky and T.Z. Mthembu), Numerical Functional
Analysis and Optimization, 13(1992), 327-348.
73) Hermite and Hermite-Fejer Interpolation Associated with Weights on R:
The L? -Theory, (D.S. Lubinsky), Journal of Approximation
Theory, 70(1992), 284-334.
74) Christoffel Functions, Orthogonal Polynomials, and Nevai's Conjecture for
Freud Weights, (A.L. Levin and D.S. Lubinsky), Constructive Approximation, 8
(1992), 463-535.
75) Sub-Exponential Growth of Solutions of Difference Equations, (D.S. Lubinsky
and P. Nevai), J. Lond. Math. Soc., 46 (1992), 149-160.
76) Hermite and Hermite-Fejer Interpolation Associated with Weights on R:
The L1 Theory, (D.S. Lubinsky and P. Rabinowitz), Canadian J. Math.,
44(1992), 561-590.
77) Convergence of Simultaneous Hermite-Pad'e Approximants to the n-Tuple
of q-Hypergeometric Series {1 Phi 1 ((1,1),(c,_?j);z)}nj=1, (M. de Bruin, K.A. Driver and D.S.
Lubinsky), Numerical Algorithms, 3 (1992), 185-192.
78) Interpolatory Integration Rules
and Orthogonal Polynomials with Varying Weights, (T. Bloom, D.S. Lubinsky and
H.B. Stahl), Numerical Algorithms, 3 (1992), 55-66.
79) Hermite-Fejer Interpolation for Weights on the Whole Real Line, (D.S.
Lubinsky and P. Rabinowitz), n Constructive Theory of Functions 91 (eds. K.G.
Ivanov, P.P. Petrushev, B.H. Sendov), Publishing House of the Bulgarian Academy
of Sciences, Sofia 1992, pp.183-192.
80) Irregular Distribution of {n ?}; n = 1,2,3,... , and
Curious Basic Hypergeometric Series, (K.A. Driver, D.S. Lubinsky, G. Petruska),
in Constructive Theory of Functions 91 (eds. K.G. Ivanov, P.P. Petrushev, B.H.
Sendov), Publishing House of the Bulgarian Academy of Sciences, Sofia 1992,
pp.115-122.
81) What Distributions of Points are Possible for Convergent Sequences of
Interpolatory Integration Rules? (T. Bloom, D.S. Lubinsky and H. Stahl),
Constructive Approximation, 9 (1993), 41-58.
82) Distribution of Points for Convergent Interpolatory Integration Rules on
(-?,?), (T. Bloom, D.S. Lubinsky and H. Stahl), Constructive
Approximation, 9 (1993), 59-82.
83) Convergence of Pade Approximants for a q-hypergeometric Series
(Wynn's Power Series III), (K. Driver and D.S. Lubinsky), Aequationes
Mathematicae, 45 (1993), 1-23.
84) Markov-Bernstein and Nikolskii Inequalities, and Christoffel Functions for
Exponential Weights on [-1,1], (D.S. Lubinsky and E.B. Saff), SIAM J. Math.
Anal., 24 (1993), 528-556.
85) The Zero Distribution of the Partial Products of Power Product Expansions,
(H. Gingold, A. Knopfmacher and D.S. Lubinsky), Analysis, 13 (1993), 133-157.
86) On the Degree of Non-Uniqueness of Simultaneous Hermite- Pade Approximants
to A Vector of Entire Functions (K.A. Driver and D.S. Lubinsky), Indagationes
Mathematicae, 4 (1993), 297-310.
87) Pointwise Convergence of Fourier Transforms (D.S. Lubinsky and F. Moricz),
Archiv der Mathematik, 61 (1993), 82-87.
88) Convergence of Product Integration Rules for Weights on the Whole Real
Line, n Contributions in Numerical Mathematics (R.P. Agarwal, Ed.), World
Scientific Series in Applicable Analysis, Volume 2, World Scientific,
Singapore, 1993, pp.255-270.
89) Distributions of Points in Convergent Sequence of Interpolatory Integration
Rules: The Rates (D. Lubinsky, T. Bloom, H. Stahl), in Proceedings of
Oberwolfach Conference, (H. Brass and G. Hammerlin, eds.), ISNM Series in
Numerical Mathematics, Vol. 112, Birkhauser, Basel, 1993, pp.25-37.
90) Convergence of Simultaneous Hermite-Pad'e Approximants to the n-Tuple of q -Hypergeometric Series {2 Phi0((A,
?j),(1,1); z)}nj=1, (M. de Bruin,
K.A. Driver and D.S. Lubinsky), Journal Comp. Applied Maths, 49 (1993), 37-44.
91) Bounds for Orthogonal Polynomials for Exponential Weights on (-1,1) and
(-?, ?), (A.L. Levin and D.S. Lubinsky), Rendiconti del Circolo
Matematico di Palermo, 33 (1993), 75-96.
92) Behaviour of Alternation Points in Best Rational Approximation, (D. Braess,
D. Lubinsky, E.B. Saff), Acta Appl. Math., 33 (1993), 195-210.(Also in
Nonlinear Numerical Methods and Rational Approximation II, (ed. A. Cuyt),
Kluwer, 1994, pp.159-172).
93) An Update on Orthogonal Polynomials and Weighted Approximation on the Real
Line, Acta Appl. Mathematicae, 33 (1993), 121-164.
94) Mean Convergence of Lagrange Interpolation for Erdos Weights, (D.S.
Lubinsky and T.Z. Mthembu), J. Comp. Appl. Math., 47 (1993), 369-390.
95) How to Discretise a Logarithmic
Potential, (D. Lubinsky and V. Totik), Acta Sci. Math. Szeged., 57(1993),
419-428.
96) The Weighted Lp-Norms of Orthonormal Polynomials for Freud
Weights, (D.S. Lubinsky and F. Moricz), J. Approx. Theory, 77 (1994), 42-50.
97) Best Weighted Polynomial Approximation via Jacobi Expansions (D. Lubinsky
and V. Totik), SIAM J. Math. Anal., 25 (1994), 555-570.
98) Degree of Approximation by Rational Functions with Prescribed Numerator
Degree, (D. Leviatan and D. Lubinsky), Can. J. Math., 46 (1994), 619-633.
99) Lp Markov-Bernstein Inequalities for Freud Weights, (A.L. Levin
and D.S. Lubinsky), J. Approx. Theory, 77 (1994), 229-248.
100) Hermite-Pade Polynomials and Approximation Properties, (K. Driver, D.
Lubinsky and H. Wallin), in Nonlinear Numerical Methods and Rational
Approximation II (ed. A. Cuyt), Kluwer, 1994, pp.261-268.
101) Zeros of Orthogonal and Biorthogonal Polynomials: Some Old, Some New, in
Nonlinear Numerical Methods and Rational Approximation II, (ed. A. Cuyt),
Kluwer, 1994, pp.3-16.
102) Weighted Polynomial Approximation with Freud Weights, (D.S. Lubinsky and
V. Totik), Constructive Approximation, 10 (1994), 301-315.
103) Rational vs. Polynomial Approximation of Entire Functions, in Linear and
Complex Analysis Problem Book 3, (eds. V.P. Havin and N.K. Nikolskii), Springer
Lecture Notes, Vol. 1574, Springer, Berlin, 1994, pp. 194-195.
104) Christoffel Functions and Orthogonal Polynomials for Erdos Weights, (A.L.
Levin, D.S. Lubinsky and T.Z. Mthembu), Rendiconti di Matematica di Roma,
14(1994), 199-289.
105) Strong Asymptotics for Polynomials Biorthogonal to Powers of log x,
(D.S. Lubinsky and A. Sidi), Analysis, 14(1994), 341-379.
106) Necessary and Sufficient Conditions for Mean Convergence of Lagrange
Interpolation for Freud Weights, (D. Lubinsky and D. Matjila), SIAM J. Math.
Anal., 26(1995), 238-262.
107) Functions of the Second kind for Freud Weights and Series Expansions of
Hilbert Transforms, (G. Criscuolo, B.M. Della-Vecchia, D. Lubinsky and G.
Mastroianni), J. Math. Anal. Applns., 189(1995), 256-296.
108) Orthogonal Polynomials and Christoffel Functions for exp (- |x|?), ? < 1, (A.L. Levin and D.S. Lubinsky), J. Approx. Theory,
80(1995), 219-252.
109) Weierstrass' Theorem in the Twentieth Century: A Selection, Quaestiones
Math., 18(1995), 91-130.
110) Convergence of Diagonal Pade Approximants for Functions Analytic near 0,
Trans. Amer. Math. Soc., 723(1995), 3149-3157.
111) An Extension of the Erd"os-Turan Inequality for Sums of Successive
Fundamental Polynomials, Annals of Numerical Mathematics (Baltzer AG), 2(1995),
305-309.
112) A Survey of Mean Convergence of Orthogonal Polynomial Expansions, Proc. of
2nd Confer. on Function Spaces (Edwardsville, Illinois) (ed. K. Jarosz),
Dekker, New York, 1995, pp. 281-310.
113) Converse Quadrature Sum Inequalities for Polynomials with Freud Weights,
Acta. Scient. Math. (Szeged), 60(1995), 527-557.
114) Necessary and Sufficient Conditions for Mean Convergence of Orthogonal
Expansions for Freud Weights, (S-W. Jha and D.S. Lubinsky), Constr. Approx.,
11(1995), 331-363.
115) Full Quadrature Sums for pth Powers of Polynomials with Freud
Weights, (D.S. Lubinsky and D. Matjila), J. Comp. Appl. Math., 60(1995),
285-296.
116) Ideas of Weighted
Polynomial Approximation on (-?, ?), n Proceedings of Aproximation
Theory VIII, (eds. C.K. Chui, L.L. Schumaker), World Scientific, Singapore,
1995, pp. 371-396.
117) On the Diagonal Pade Approximants of Meromorphic Functions, Indagationes
Mathematicae, 7(1996), 97-110.
118) Nuttall-Pommerenke Theorems for Homogeneous Approximants, (A. Cuyt, K.
Driver, D.S. Lubinsky), J. Comp. Appl. Math., 67(1996), 141-146.
119) On The Size of Lemniscates of Polynomials in One and Several Variables,
(A. Cuyt, K. Driver, D.S. Lubinsky), Proc. Amer. Math. Soc., 124(1996),
2123-2136.
120) Kronecker Type Theorems, Normality and Continuity of the Multivariate Pade
Operator (A. Cuyt, K. Driver, D.S. Lubinsky), Numerische Mathematik, 73(1996),
311-328.
121) A Direct Approach to Convergence of Multivariate, Non-homogeneous
Pade Approximants, (A. Cuyt, K. Driver, D.S. Lubinsky), J. Comp. Appl.
Math., 69(1996), 353-366.
122) Necessary and Sufficient Conditions for Mean Convergence of Lagrange
Interpolation for Erdos Weights, (S.B. Damelin and D.S. Lubinsky), Can. Math.
J., 40(1996), 710-736.
123) Necessary and Sufficient Conditions for Mean Convergence of Lagrange
Interpolation for Erd"os Weights II, (S.B. Damelin and D.S. Lubinsky), Can.
Math. J., 40(1996), 737-757.
124) Continuing the Fraction, SA Journal of Science, 92(1996), 363-364.
125) Jackson and Bernstein Theorems for Exponential Weights, n Approximation
Theory and Fourier Series, (eds. P. Vertesi et al.), Janos Bolyai Society, Vol.5,
Budapest, 1996, pp. 85-115.
126) On the Convergence of Multivariate Pad'e Approximants (A. Cuyt and
D.S.Lubinsky), Bulletin de la Societe Mathematique de Belgique, (Special Issue
on Numerical Analysis), December 1996, pp. 51-61.
127) The Weighted Lp Norms of Orthonormal Polynomials for Erdos
Weights, Int. J. for Computers and Mathematics and its Applications, 33(1997),
151-163.
128) Jackson and Smoothness Theorems for Freud Weights in Lp (0 <p < ? ), (Z. Ditzian and D.S. Lubinsky), Constr.
Approx., 13(1997), 99-152.
129) A de Montessus Theorem for Multivariate Homogeneous Pade Approximants, (A.
Cuyt and D.S. Lubinsky), Annals of Numerical Mathematics, 4(1997), 217-228.
130) Forward and Converse Theorems of Polynomial Approximation for
Exponential Weights on [-1,1] I, J. Approx. Theory, 91(1997), 1-47.
131) Forward and Converse Theorems of Polynomial Approximation for Exponential
Weights on [-1,1] II, J. Approx. Theory, 91(1997), 48-83.
133) Small Values of Polynomials: Cartan, Polya and Others, J. Ineq. And
Applns., 1(1997), 199-222.
133) On the Irrationality of ??j = 1(1+-q-j r + q-2js) , (P.Zhou and
D.S. Lubinsky), Analysis, 17(1997), 129-153.
134) On q-Exponential Functions for | q | =1, Canadian.
Math. J., 41(1998), 86-97.
135) Smooth Maclaurin Series Coefficients in Pade and Rational Approximation, n
Approximation Theory in Memory of A.K. Varma (eds., Z. Nashed, A. Sharma, J.
Szabados), Marcel Dekker, New York, 1998, pp. 363-388.
136) Jackson Theorems for Erdos Weights in Lp (0 < p <? ), (S.B. Damelin and D.S. Lubinsky) J. Approx. Theory, 94(1998),
333-382.
137) Marcinkiewicz-Zygmund Inequalities: Methods and Results, in Recent
Progress in Inequalities (ed. G.V. Milovanovic et al.), Kluwer Academic
Publishers, Dordrecht, 1998, pp. 213-240.
138) Mean Convergence of Lagrange
Interpolation for Exponential Weights on [-1,1], Canadian Math. J., 50(1998),
1273-1297.
139) Bounds for Orthogonal Polynomials for Exponential Weights (AL Levin and DS
Lubinsky), J. Comp. Appl. Math., 99(1998), 475-490.
140) Asymptotic Approximation by Entire Functions with Positive Coefficients,
(in) Approximation Theory and its Applications, (ed. T. M. Rassias),
Hadronic Press, Florida, 1998, pp. 137-158.
141) Small Values of Polynomials and Potentials with LpNormalization, Proc. Amer. Math. Soc., 127(1999), 529-536.
142) On Boundedness of Lagrange Interpolation in Lp, p< 1, Journal of Approximation Theory, 96(1999), 399-404.
143) Mean Convergence of Extended Lagrange Interpolation with Freud Weights
(D.S. Lubinsky and G. Mastroianni), Acta Math. Hungar., 84(1999), 47-63.
144) Will Ramanujan kill Baker-Gammel-Wills? (A Selective Survey of Pade
Approximation), n Proceedings of IDOMAT 98, International Series in Numerical
Mathematics, Vol. 132, Birkhauser, Basel, 1999, pp. 159-174.
145) The Size of (q;q)n for q on the Unit Circle,
Journal of Number Theory, 76(1999), 217-247.
146) Asymptotics Associated with Exponential Weights, (A.L. Levin and D.S.
Lubinsky), International Maths Research Notices, 12(1999), 673-683.
147) On Converse Marcinkiewicz-Zygmund Inequalities in Lp, p> 1, Constr. Approx., 15(1999), 577-610.
148) Convergence of Product Integration Rules for Weights on the Whole Real
Line II, in Hammerlin Memorial Volume (ed. R.P. Agarwal), World Scientific,
Singapore, 1999, pp. 201-215.
149) Weighted Lebesgue Constants (DS Lubinsky and J Szabados), Constr. Approx.
(Problem Section), 16(2000), 157-159.
150) Asymptotic Behaviour of Entire Functions with Positive Coefficients,
Constr. Approx. (Problem Section), 16(2000), 313-316.
151) (C,1) Means of Orthonormal Expansions for Exponential Weights, (D.S.
Lubinsky and D. Mache), J. Approx. Theory, 103(2000), 151-182.
152) On Mean Convergence of Lagrange Interpolation for General Arrays, J.
Approx. Theory, 104(2000), 220-225.
153) On the Maximum and Minimum Modulus of Rational Functions, Canad. Math. J.,
52(2000), 815-832.
154) Asymptotics of Orthogonal Polynomials: some old, some new, some
identities, Acta Applicandae Mathematicae, 61(2000), 207-256.
155) Lp Markov-Bernstein Inequalities on Arcs of the Circle,
J. Approx. Theory, 108(2001), 1-17.
156) Diagonal Pade Sequences for functions Meromorphic in the Unit Ball
Approximate Well Near 0, in Trends in Approximation Theory, (eds. K. Kopotun,
T. Lyche, M. Neamtu), Vanderbilt University Press, Nashville, 2001, pp.
297-305.
157) John Knopfmacher - A Mathematical Biography, Quaestiones Mathematicae,
24(2001), 262-262.
158) Large Sieve Estimates on Arcs of a Circle (L. Golinskii, D. Lubinsky, P.
Nevai), J. Number Theory, 91(2001), 206-229.|
159) Sharp Estimates for the Maximum over Minimum Modulus of Rational
Functions, Proc. Amer. Math. Soc., 129(2001),
3519-3529.
160) Convergence vs. Correspondence for Sequences of Rational Functions (L.
Lorentzen and D.S. Lubinsky), Indagationes Mathematicae, 12(2001), 213-219.
161) Green Equilibrium Measures and Representations of an External Field (A.L.
Levin and D.S. Lubinsky), J. Approx. Theory, 113(2001), 298-323.
162) Weighted Maximum over Minimum Modulus of Polynomials, applied to Ray
Sequences of Pade Approximants, Constructive Approximation, 18(2002),
285-308.
163) Mathematica Evidence that Ramanujan kills Baker-Gammel-Wills, (A. Knopfmacher
and D.S. Lubinsky), Applied Mathematics and Computation, 128(2002),
289-302.
164) Converse Quadrature Sum Inequalities for Freud Weights II (D.S. Lubinsky
and G. Mastroianni), Acta Math. Hungar., 96(2002),
147-168.
165) On Mean Convergence of Trigonometric Interpolants, and Their Unit Circle
Analogues, for General Arrays, Analysis, 22(2002), 97-107.
166) L_p Markov-Bernstein Inequalities on All Arcs of the Circle (C.K.
Kobindarajah and D.S. Lubinsky, Journal of Approximation Theory, 116(2002),
343-368.
167) (C,1) Means of Orthonormal Expansions for Exponential Weights (D.S.
Lubinsky and H.P. Mashele), Journal of Computational and Applied Mathematics,
145(2002), 387-405
168) Some Polynomial Problems arising from Pade Approximation, Rendiconti del
Circolo Matematico di Palermo, Series II, Suppl. 68(2002), 49-63.
169) A Taste of Erdos on Interpolation, (IN) Paul Erdos and his Mathematics,
I., Bolyai Society Math Studies, II, Bolyai Society, Budapest, 2002, pp.
423-454.
170) Curious q-Series as Counterexamples in Pade Approximation, (in) Advanced
Problems in Constructive Approximation (eds. M.D. Buhmann and D.H. Mache), ISNM
Vol. 142, Birkhauser, Basel, 2002, pp. 109-128.
171) On Weighted Mean Convergence of Lagrange Interpolation for General Arrays,
Journal of Approximation Theory, 118(2002), 153-162.
172) Rogers-Ramanujan and the Baker-Gammel-Wills (Pade) Conjecture, Annals of
Mathematics, 157(2003), 847-889.
173) Quadrature Sums and Lagrange Interpolation for General Exponential
Weights, (D. Kubayi and D.S. Lubinsky), Journal of Computational and Applied
Mathematics, 151(2003), 383-414.
174) Asymptotics for Entropy Integrals Associated with Exponential Weights,
(Eli Levin and D. S. Lubinsky), Journal of Computational and Applied Mathematics,
156(2003), 265-283.
175) Best Approximation and Interpolation of (1+ax^2)^-1 and its Transforms,
Journal of Approximation Theory, 125(2003), 106-115.
176) Smallest Eigenvalues of Hankel Matrices for Exponential Weights, (Y. Chen
and D.S. Lubinsky), Journal of Mathematical Analysis and Applications,
293(2004), 476-495.
177) A Hilbert Transform Representation of the Error in Lagrange Interpolation,
(D. Kubayi and D.S. Lubinsky), J. Approx. Theory, 129(2004), 94-100.
178) Towards a Representation of the Bernstein Constant, (IN) Advances in
Constructive Approximation, (M. Neamtu and E.B. Saff, eds.), Nashboro Press, Nashville,
2004, pp. 325-332.
179) Orthogonal Polynomials for Exponential Weights x^2rho exp(-2Q(x)), (Eli
Levin and D. S. Lubinsky), (IN) Advances in Constructive Approximation, (M.
Neamtu and E.B. Saff, eds.), Nashboro Press, Nashville, 2004, pp. 291-298.
180) Marcinkiewicz-Zygmund Inequalities for all Arcs of the Circle, (C.K.
Kobindarajah and D.S. Lubinsky), (IN) Advances in Constructive Approximation,
(M. Neamtu and E.B. Saff, eds.), Nashboro Press, Nashville, 2004, pp. 291-298.
181) Some Explicit Biorthogonal Polynomials (D.S. Lubinsky and H. Stahl), (IN)
Approximation Theory XI, (C.K. Chui, M. Neamtu, L. Schumaker, eds.),
Nashboro Press, Nashville, 2005, pp. 279-285.
182) Asymptotics for Sobolev Orthogonal Polynomials for Exponential Weights,
(J.S. Geronimo, D.S. Lubinsky, and F. Marcellan), Constructive Approximation,
22(2005), 309-346.
183) Orthogonal Polynomials for Exponential Weights x^(2 rho)exp(-2Q(x)) on
[0,d), (Eli Levin and D.S. Lubinsky), Journal of Approximation Theory,
134(2005), 199-256.
184) Condition Numbers of Hankel Matrices for Exponential Weights, Journal of
Mathematical Analysis and Applications, 314(2006), 266-285.
185) Orthogonal Polynomials for Exponential Weights x^(2 rho)exp(-2Q(x))
on [0,d), II, (Eli Levin and D.S. Lubinsky), Journal of Approximation Theory,
139(2006), 107-143.
186) Series Representations for Best Approximating Entire Functions of
Exponential Type, (in) Wavelets and Splines - Athens 2005, (G. Chen and M-J
Lai, eds.), Nashboro Press, 2006, pp. 355-364.
187) Jackson and Bernstein Theorems for the Weight exp(-|x|) on R, Israel
Journal of Mathematics, 153(2006), 193-220.
188) Bernstein's Weighted Approximation on R still has Problems, Electronic
Transactions on Numerical Analysis, 25(2006), 166-177.
189) Weights whose Biorthogonal Polynomials admit a Rodrigues Formula.
(D.S. Lubinsky and I. Soran), Journal of Math. Analysis and Applications,
324(2006), 805-819.
190) Which Weights on R admit Jackson Theorems?, Israel Journal of Mathematics,
155(2006), 253-280.
191) Zero Distribution of Muntz Extremal Polynomials in Lp[0,1] (D.S. Lubinsky
and Ed Saff), Proceedings of the American Mathematical Society, 135(2007),
427-435.
192) On Recurrence Coefficients for Rapidly Decreasing Exponential
Weights (Eli Levin and Doron S Lubinsky), Journal of Approximation
Theory, 144(2007), 260-281.
193) A Survey of Weighted Polynomial Approximation with Exponential Weights,
Surveys in Approximation Theory, 3(2007), 1-105.
194) Asymptotics of Derivatives of Orthogonal Polynomials on the Unit Circle,
Journal of Approximation Theory, 145(2007), 122-127.
195) On the Bernstein Constants of Polynomial Approximation, Constructive
Approximation, 25(2007), 303-366.
196) Orthogonal Polynomials for Weights Close to Indeterminacy (Eli Levin and
Doron S Lubinsky), J. Approximation Theory, 147(2007), 129-168.
197) Universality Limits Involving Orthogonal Polynomials on the Unit Circle
(Eli Levin and Doron S Lubinsky), Computational Methods and Function Theory, 7(2007), 543-561.
198) Applications of
Universality Limits to Zeros and Reproducing Kernels of Orthogonal Polynomials
(Eli Levin and D.S. Lubinsky), Journal of Approximation Theory, 150(2008),
69-95.
199) Large Sieve Inequalities and the Mahler Measure of the Fekete Polynomials,
(Tamas Erdelyi and D.S. Lubinsky), Journal of the Canadian Mathematical
Society, 59(2007), 730-741.
200) Asymptotics of Derivatives of Orthogonal Polynomials on the Real
Line (Eli Levin and Doron S Lubinsky), Acta Math. Hungar, 118(2008),
115-127.
201) Mutually Regular Measures have Similar Universality Limits, (in)
Proceedings of Twelfth Texas Conference on Approximation Theory, (eds. M.
Neamtu and L. Schumaker), Nashboro Press, Nashville, 2008, pp. 256-269.
202) Best Approximating Entire Functions to |x|^alpha in L2 (Michael
Ganzburg and Doron Lubinsky), Contemporary Mathematics, 455(2008), 93-107.
203) Biorthogonal Polynomials and Numerical Integration Formulas for Infinite
Intervals (Avram Sidi and D.S. Lubinsky), Journal of Numerical and
Industrial and Applied Mathematics, 2(2007), 209-226.
204) A New Approach to Universality Limits at the Edge of the Spectrum, Contemporary
Mathematics (60th birthday of Percy Deift), 458(2008), 281-290.
205) Universality limits in the bulk for varying measures. (Eli Levin and
Doron Lubinsky), Advances in Mathematics, 219(2008), 743-779.
206) Universality Limits at the Hard Edge of the Spectrum for Measures with Compact
Support, International Mathematics Research Notices, (2008) 2008: rnn099-39.
207) Universality limits in the Bulk for Arbitrary Measures on a Compact
Set, J. d' Analyse de Mathematique, 106(2008), 373-394.
208) Zero Distribution of Composite Polynomials, and Polynomials Biorthogonal
to Exponentials (D S Lubinsky and Avram Sidi), Constructive Approximation,
28(2008), 343-371.
209) Which Weights on R admit Lp Jackson Theorems?, Rocky Mountain
Journal of Mathematics, 39(2009), 165-192.
210) Universality Limits for Exponential Weights (Eli Levin and D.S. Lubinsky),
Constructive Approximation, 29(2009), 247-275.
211) Explicit Orthogonal Polynomials for Reciprocal Polynomial Weights
in (-infinity,infinity), Proc. Amer. Math. Soc.137 (2009),
2317-2327.212) Universality Limits for Random Matrices and de Branges
Spaces of Entire Functions, Journal of Functional Analysis, 256(2009),
3688-3729.
213) On the Airy Reproducing Kernel, and Associated Sampling Series and
Quadrature Formula (Eli Levin and Doron Lubinsky), Integral
Equations and Operator Theory, 63(2009), 427-438.
214) A New Approach to Universality Limits Involving Orthogonal Polynomials,
Annals of Mathematics, 170(2009), 915-939.
215) Some Recent Methods for Establishing Universality Limits, Journal of
Nonlinear Analysis, 71(2009), e2750-e2765.
216) Orthogonal Polynomials and Pade Approximants for reciprocal Polynomial
Weights, Journal of Approximation Theory, 162(2010), 298-302.
217). Positive Interpolatory Quadrature Generated by Biorthogonal Polynomials
(D Lubinsky and A. Sidi), Mathematics of Computation, 79(2010), 845-855.
218) Universality Type Limits for Bergman Orthogonal Polynomials,
Computational Methods and Function Theory, 10(2010), 135-154.
219) Some Equivalent formulations of Universality Limits in the Bulk, (Eli
Levin and Doron Lubinsky), Contemporary Mathematics, 507(2010), 177-188.
220) Applications of New Geronimus Type Identities for Real Orthogonal
Polynomials, Proc. Amer. Math. Soc. 138 (2010),
2125-2134.
221) Universality at the Soft Edge of the Spectrum via the Theory of Entire
Functions (Eli Levin and Doron Lubinsky), International Maths Research Notices (2010) doi: 10.1093/imrn/rnq185 , 13(2011), 3006-3070.
222) Old and New Geronimus Type Identities for Real Orthogonal
Polynomials, Jaen Journal of Approximation Theory, 2(2010),
289-301.
223) New Integral Identities for Orthogonal Polynomials on the Real Line,
Proceedings of the American Mathematical Society, 139 (2011)
1743-1750.
224) Universality in the Bulk holds close to Given Points, Journal of
Approximation Theory, 163(2011), 904-922.
225) An Operator Associated with de Branges Spaces and Universality Limits,
Contemporary Mathematics, 538(2011), 213-229.
226) The Size of the Set of mu irregular points for a compactly supported
measure (Eli Levin and Doron Lubinsky), Acta Math Hungarica, 133(2011),
242-250.
227) A Maximal Function Approach to Christoffel Functions and Nevai's
Operators, Constructive Approximation, 34(2011), 357-369.
228) On Christoffel Functions and Related Quantities for Compactly Supported
Measures, (in) Approximation Theory XIII: San Antonio 2010, (eds. M. Neamtu and
L. Schumaker), Springer, NY, 2011, pp. 207-220.
229) The Degree of Shape Preserving Weighted Polynomial Approximation
(Dany Leviatan and Doron Lubinsky), Journal of Approximation Theory, 164(2012),
218-228.
230) Averages of Ratios of Christoffel Functions for Compactly Supported
Measures, in East Journal on Approximations, 17(2011), 159-170.
231) Bulk Universality Holds in Measure for Compactly Supported
Measures, J d'Analyse de Mathematique, 116(2012), 219-253.
232) Christoffel Functions and Universality Limits for Orthogonal Rational
Functions (Karl Deckers and Doron Lubinsky), Analysis and Applications,
3(2012), 271-294.
233) Bulk Universality Holds Pointwise in the Mean, for Compactly Supported
Measures, Michigan Mathematical Journal, 61(2012), 631-649.
234) Discrete Beta Ensembles Based on Gauss Type
Quadratures, Contemporary Mathematics, 578(2012), 143-163. (Proceedings of
OPSFA 11)
235) How Poles of Orthogonal Rational Functions affect Their Christoffel
Functions (Karl Deckers and Doron Lubinsky), Journal of Approximation Theory,
164(2012), 1184-1199.
236) Christoffel Functions and Universality in the Bulk for Multivariate Orthogonal
Polynomials (Andras Kroo and Doron Lubinsky), Canadian Journal of
Mathematics, 65(2013), 600-620.
237) Polynomials Biorthogonal to Dilations of Measures, and Their Asymptotics
(Avram Sidi and Doron Lubinsky), Journal of Mathematical Analysis and Applications,
397(2013), 91-108.
238) Universality Limits Involving Orthogonal Polynomials on Arcs of the Unit
Circle (D. Lubinsky and V. Nguyen), Computational methods and Function
Theory, 13(2013), 91-106.
239) A Variational Principle for Correlation Functions for Unitary
Ensembles, with Applications, Analysis and PDE, 6(2013), 109-130.
240) Christoffel Functions and Universality on the Boundary of the Ball (Andras
Kroo and Doron Lubinsky), Acta Math. Hungarica, 140(2013), 117-133.
241) Orthogonal Dirichlet Polynomials with Arctan Density, Journal of Approximation
Theory, 177(2014), 43-56.
242) Reflections on the Baker-Gammel-Wills (Pade) Conjecture,(in) Analytic
Number Theory, Approximation Theory, and Special Functions (G. Milovanovic, M.
Rassias, eds.), Springer, NY, 2014, pp. 561-571.
243) Discrete Circular Beta Ensembles, Random Matrices: Theory and
Applications, 2(2013), no. 3, 1350004, 20 pp.
244) Uniform Mean Value Estimates and Discrete Hilbert Inequalties via
Orthogonal Dirichlet Series, Acta Math Hungarica, 143(2014), 422-438.
245) On Sharp Constants in Marcinkiewicz-Zygmund and Plancherel-Polya
Inequalities, Proc. Amer. Math. Soc., 142(2014), 3575-3584.
246) Weighted Markov-Bernstein Inequalities for Entire Functions of Exponential
Type, Publications de l'Institut Mathematique, 96(110)(2014), 181-192.
247) Asymptotic Zero Distribution of Biorthogonal Polynomials, (Doron Lubinsky,
Avram Sidi, Herbert Stahl), Journal of Approximation Theory, 190(2015),
26-49.
248) Lp Christoffel Functions, Lp Universality, and Paley-Wiener Spaces (Eli
Levin and Doron Lubinsky), Journal d'Analyse Mathematique, 125(2015), 243-283.
249) Orthogonal Dirichlet Polynomials with Laguerre Weight, Journal of
Approximation Theory, 194(2015), 146-156.
250) Asymptotic Behavior of Nikolskii Constants for Polynomials on the Unit
Circle, (Eli Levin, Doron Lubinsky), Computational Methods and Function Theory,
15(2015), 459-468.
251) Universality Limits via "old style" analysis, (in) Random
Matrix Theory, Interacting Particle Systems, and Integrable Systems, (eds. P.
Deift and P. Forrester), MSRI Proceedings Vol. 65, Cambridge
University Press, New York, 2014, pp. 277-292.
252) Expected Number of Real Zeros
for Random Linear Combinations of Orthogonal Polynomials (D. Lubinsky, I.
Pritsker, X.Xie), Proceedings of the Amer. Math. Soc., 144(2016), 1631-1642.
253) Scaling Limits for Mixed Kernels, Constructive Approximation, 43(2016),
311-336.
254) Ed Saff at Three Score and Ten, Contemporary Mathematics, 661(2016), 1-27.142 (2014), 3575-3584
255) Universality Limits Involving Orthogonal Polynomials on a Smooth Closed
Contour, (Eli Levin, Doron Lubinsky), Contemporary Mathematics, 667(2016),
187-197.
256) Sobolev Orthogonal Polynomials on the Unit Ball via Outward Normal Derivatives
(A.M. Delgado, L. Fernandez, D. Lubinsky, T. E. Perez, M. A. Pinar), Jour.
Math. Anal. Applns., 440(2016), 716-740.
257) Gaussian Fluctuations of Eigenvalues of Random Hermitian Matrices
Associated with Fixed and Varying Weights, Random Matrices: Theory and
Applications, 5(2016), No. 3, 1650009, 31
pages, 10.1142/S2010326316500009X
258) An Update on Local Universality Limits for Correlation Functions Generated
by Unitary Ensembles, SIGMA, 12(2016), 078, 36 pages.
259) Quadrature Identities for Interlacing and Orthogonal Polynomials,
Proceedings of the Amer. Math. Soc., 144(2016), 4819-4829.
260) Universality in Measure for Varying Weights (Eli Levin, Doron Lubinsky),
Michigan Math. Journal, 65(2016), 833-854.
261) Simultaneous Gaussian Quadrature for Angelesco Systems (Doron Lubinsky and
Walter Van Assche), Jaen Journal on Approximation, 8(2016), 113-149.
262) On an asymptotic equality for reproducing kernels and sums of squares of
orthonormal polynomials (Aleks Ignjatovic, D. Lubinsky), (in) Progress in
Approximation Theory, eds. N. Govil, R. Mohapatra, M. Qazi, G. Schmeisser,
Springer, Berlin, 2017, pp. 129-144.
263) Scaling Limits of Polynomials and Entire Functions of Exponential Type,
(in) Approximation Theory XV (ed. G.E. Fasshauer, L.L. Schumaker), Springer, New
York, 2017, pp. 219-238.
264) On Marcinkiewicz-Zygmund Inequalities at Jacobi Zeros and Their Bessel
Function Cousins, Contemporary Mathematics, 669(2017), 223-245.
265) Expected Number of Real Zeros for Random Orthogonal Polynomials (D.
Lubinsky, I. Pritsker, X.Xie Math. Proc.
Cambridge Philosophical Society, 164(2018), 47-66.
266) Exact Interpolation, Spurious Poles, and Uniform Convergence of Multipoint
Padé Approximants, Sbornik Mathematics (Russian), 209(2018), 150-167, https://doi.org/10.4213/sm8875 English version in 209(2018), 432-448.
267) Pointwise Asymptotics for Orthonormal Polynomials at the Endpoints of the
Interval via Universality, International Maths Research Notices, https://doi.org/10.1093/imrn/rny042
268) Mean Convergence of Interpolation
at Zeros of Airy Functions, (in) Contemporary Computational Mathematics - A
Celebration of the 80th Birthday of Ian Sloan, Vol. 2, eds. J. Dick, F. Kuo, H.
Wozniakowski, Springer International, Switzerland, 2019, pp. 889-909.
269) On Uniform Convergence of Diagonal Multipoint Pade Approximants For Entire
Functions, Constructive Approximation, 49(2019), 149-174.
270) Local Asymptotics for Orthonormal Polynomials in the Interior
of the Support via Universality, Proc. of the Amer. Math. Soc., 147(2019),
3877-3886.
271) The Spurious Side of Diagonal Multipoint Padé Approximation, (in) Topics
in Classical and Modern Analysis, in memory of Y. Hu (eds. M. Abell et al),
Birkhauser, Basel, 2019, pp. 241-259.
272) A Note on Orthogonal Dirichlet Polynomials with Rational Weights,
Dolomites Research Notes on Approximation, 12(2019), 10-15.
273) Orthogonal Dirichlet Polynomials with Constant Weight, Appicable Analysis
and Discrete Mathematics, 13(2019), 697-710.
274) On Marcinkiewicz-Zygmund Inequalities at Hermite Zeros and
Their Airy Function Cousins, (in) Trigonometric Sums and Their Applications
(eds. A. Raigorodskii, M. Rassias) Springer,
Zurich, 2020, pp. 119-146.
275) Local Asymptotics for Orthonormal
Polynomials on the Unit Circle Via Universality, Journal d'Analyse Math.,
141(2020), 285-304. (Correction to proof of two lemmas in Journal d'Analyse
Math, 144(2021), 397-400).
276) Local Limits for Orthogonal Polynomials for Varying Weights via
Universality (Eli Levin and Doron Lubinsky), Journal
of Approximation Theory, 254(2020), 105394.
277) Variance of Real Zeros of
Random Orthogonal Polynomials (D. Lubinsky and I. Pritsker), Journal of
Mathematical Analysis and Applications, 498(2021), 124954, 32 pages
278) On Eigenvalue Distribution of Varying Hankel and Toeplitz Matrices with
Entries of Power Growth or Decay (G. Kowalsky and D. Lubinsky), (in)
Approximation Theory XVI, eds. G. Fasshauer et al, Springer, Switzerland, 2021,
pp. 153-170.
279) On Baker's Patchwork Conjecture for Diagonal Pade Approximants,
Constructive Approximation, 53(2021), 545-567.
280) On Lower Bounds for Erdos Szekeres Products (C. Billsborough, M.
Freedman, S. Hart, G. Kowalsky, D. Lubinsky, A. Pomeranz, A. Sammel),
Proceedings of the Amer. Math. Soc., 149(2021), 4233-4246.
281 The Effect of Adding Endpoint Masspoints on Bounds for Orthogonal
Polynomials, Dolomites Research Notes on Approximation, 14(2021), 42-55.
282) Some Biorthogonal Polynomials arising in Numerical Analysis and
Approximation Theory (D. Lubinsky and A. Sidi), J. Comp. Appl. Math.,
403(2022)113842.
283) Distribution of Eigenvalues of Toeplitz Matrices with Smooth Entries,
Linear Algebra and its Applications, 633(2022), 332-365.
284) On Average Growth of Erdos- Szekeres Polynomials (C. Billsborough, S.
Gold, E.Linder, D. Lubinsky, Jiahui Yu) , Acta Math. Hungarica, 166(2022),
179-204.
285) Orthogonal Dirichlet Polynomials, in "Approximation and Computation
in Science and Engineering", Springer Optimization and its Applications
Vol,. 180, (eds. N. Daras, T.M. Rassias), Springer, Switzerland, 2022, pp.
573-588.
286) Variance of Real Zeros of Random Orthogonal Polynomials for Varying and
Exponential Weights (D. Lubinsky and I. Pritsker), Electronic Journal of
Probability, 27(2022), art. no. 83, 1-32.
287) Asymptotics of Orthogonal Polynomials and Separation of Their Zeros (Eli
Levin and D. Lubinsky), Journal of Approximation Theory, 282-282(2022), 105804
288) Bounds on Orthogonal Polynomials and Separation of Their Zeros (Eli Levin
and Doron Lubinsky), Journal of Spectral Theory, 12(2022), 497-513.
289) On Zeros, Bounds, and Asymptotics for Orthogonal Polynomials on the Unit
Circle, Math. Sbornik, 213(2022), 31-49.
290) On
Local Limits for Orthogonal Polynomials (Eli Levin and D.
Lubinsky), (in) Exploring Mathematical Analysis, Approximation Theory
and Optimization (N. Daras et al, eds.), pages 177-198, Springer, 2024.
Papers Accepted
291) The effect of two exterior masspoints on bounds for orthogonal
polynomials, accepted..
292) Bounds on Orthonormal Polynomials for Restricted Measures, to appear in Constructive Approximation.
293) A Survey of Erdos-Szekeres Products, accepted.
Papers Submitted or Prepared
294) Real Roots of Random Orthogonal Polynomials with Exponential Weights (Yen Do, D. Lubinsky, Hoi H. Nguyen, I. Pritsker, Oanh Nguyen)
D.
PRESENTATIONS
Pan African Congress of Mathematics,
Capetown, January 2000.
Trends in Approximation Theory -
2000, Nashville, Tennessee, USA, May 2000.
4th International Conference on
Functional Analysis and Approximation Theory, Marathea, Italy, September 2000
(Plenary Speaker).
Computational Methods and Function
Theory - Aveiro, Portugal, June 2001 (Plenary Speaker)
IDOMAT 2001: International Dortmund
Meeting on Approximation Theory, Dortmund, August, 2001. (Plenary Speaker)
Tenth Southeastern Approximation
Theory Conference, Athens, Georgia, March 2002 (Plenary Speaker)
Conference in Honour of Hans Wallin,
Umea, Sweden, June 2002 (Plenary Speaker)
Advances in Constructive Approximation, Nashville, May, 2003.
Joint RSME-AMS Conference, Seville,
June 2003, (Session Invited Speaker).
SIAM conference "Spectral
Theory and Inverse Spectral Theory for Jacobi Operators", June 8-12, 2003
(One of 40 plenary speakers).
Eleventh International Conference in Approximation Theory, Gatlinburg, May,
2004.
Constructive Functions Tech-04 (in
honor of Ed Saff), Atlanta, November, 2004.
AMS Annual Meeting, Atlanta, January 5-8, 2005.
International Conference on Interaction Between Wavelets and Splines (in honor
of Charles Chui), Athens-GA, May 2005.
AMS Sectional Meeting, Johnson City,
TN, October 14-16, 2005.
Third International Conference on Complex Analysis and Dynamical Systems,
Nahariya, Israel, January 2006.AMS Sectional Meeting, Miami, FL, April 2, 2006
Conference in Honor of Percy Deift's 60th Birthday, Courant Institute, New York
University, May, 2006. (One of 40 plenary speakers).
Twelfth International Conference in
Approximation Theory, San Antonio, March, 2007.
SIAM conference "Interactions of Random Matrix Theory, Integrable Systems,
and Stochastic Processes, Snowbird, Utah, June 24-28, 2007" (One of
35 plenary speakers).
Banff International Research Station
Workshop "Modern Approaches in Asymptotics of Polynomials", Banff,
Canada, November 11 to 16 (one of 29 plenary speakers allotted 30 minutes).
APPOPT 2008, San Andres, Colombia,
March 2008, plenary speaker.
The Mathematical Interests of Peter Borwein, Simon Fraser University, Canada,
May 2008.
Constructive Theory of Functions,
CTF-08, Campos do Jordao, Brazil, June 3-9 2008, plenary speaker.
WCNA 2008, World Conference of
Nonlinear Analysts, Orlando, Florida, July 2008.
Complex Analysis and Dynamical Systems, Nahariya, Israel, May 2009.
Tenth Conference on Orthogonal
Polynomials, Special Functions and Applications, Leuven, Belgium, July 2009,
plenary speaker.
Twelfth International Conference in Approximation Theory, San Antonio, Texas,
March 2010.
26th Southeastern Analysis Meeting, Atlanta, GA, March 2010.
Jaen Conference on Approximation
Theory, Ubeda, Spain, July 2010, plenary speaker.
African Institute of Mathematical Sciences "Diversity in
Mathematics", Capetown, July 2010, plenary speaker.
Banff International Research Station
Workshop "New Perspectives in Univariate and Multivariate Orthogonal
Polynomials", Banff, Canada, October 10-15, 2010.
MSRI Workshop "Random Matrix
Theory and its Applications II", Berkeley, December 2010, invited speaker.
ATHA Workshop, Kennesaw State
University, Kennesaw, Georgia, May 14-15, 2011.
International Symposium on Approximation Theory (70th Birthday of Larry
Schumaker), Nashville, Tennesee, May 17-20, 2011, plenary speaker.
Orthogonal Polynomials and Special Functions 11 (OPSFA 11), Madrid, Spain,
August 28 - Sept. 2, 2011, plenary speaker.
ICREA Conference on Approximation Theory and Fourier Analysis, CRM,
Barcelona, December 12 - 16, 2011, plenary speaker.
New Trends in Approximation Theory, Ein Gedi, Israel, January 4-7, 2012,
plenary speaker.
International Symposium on Orthogonal Polynomials and Special Functions - A
Complex Analytic Perspective, Copenhagen, June 11-15, 2012, plenary speaker.
CADS VI, Complex Analysis and Dynamical Systems, Nahariya, Israel, May 2013.
PRCM, Pacific Rim Conference on Mathematics, Sapporo, Japan, July 1-5, 2013,
plenary speaker.
SIAM 2013 Annual Meeting, San Diego, July 8-12, 2013: two minisymposium talks.
CBMS Conference: Uncertainty Principle in Harmonic Analysis: Gap and Type
Problems,Clemson University, August 12-16, 2013, plenary speaker.
AMS-IMU Joint Conference, Tel Aviv, Israel, June 16-20, 2014, special session
talk.
ICAM (International Conference on Applied Maths, in honor of Roderick Wong's
70th birthday), Hong Kong, December 1-5, invited talk.
Orthogonal Polynomials and Special Functions 13 (OPSFA13), Washington DC, June
2015, special session talk.
Asymptotics in Integrable Systems, Random Matrices and Random Processes and
Universality (in honor of Percy Deift's 70th birthday), Montreal, June 2015,
plenary speaker.
Workshop on Orthogonal and Multiple Orthogonal Polynomials, Bannf-Oaxaca, 9-14
August 2015, invited speaker.
SEAM 2016 ? 32nd
Southeastern Analysis Meeting - Tampa Florida, March 13-15, Plenary Speaker.
15th International Conference on Approximation Theory, San Antonio, May 22-25,
2016, Plenary Speaker.
Frontiers in Mathematical Physics, Fields Institute/CRM, In honor of Barry
Simon's 70th birthday, Montreal, Aug 28 - Sept. 1, 2016, Plenary Speaker
International Conference in
Approximation Theory, Georgia Southern University, May 8-11, 2017, Plenary
Speaker.
International Conference on Special Functions: Theory, Computation, and
Applications 2017, Hong Kong, June 5-9, 2017, Plenary Speaker
Analysis, Approximation Theory,
Operator Theory and their Interactions, March 2018, Columbus,
Ohio, Plenary Speaker.
Approximation
Theory 16, May 2019, Nashville, Tennessee.
SIAM
2020 Annual Meeting: AN20: MS: Orthogonal Polynomials, Random Matrices and
Asymptotic Methods, contributed talk (via Zoom).
Gonchar-Vitushkin Online Conference, October 5-6, 2020, Moscow, Russia, plenary
speaker (via Zoom).
Discretization and Related
Questions, March 9-13, 2021, Lomonosov Moscow State University, Russia, invited
speaker (via Zoom).
SAMS conference, Nov-Dec, 2021, plenary talk (via Zoom).
GPOTS 2023, May 15-19, 2023, Ohio State University, plenary talk.
Analysis Workshop at Georgia Tech, Dec 2023.
E.
Grants
E1. As Principal Investigator
2004-2006: NSF Individual Grant DMS-0400446
2007-2009: NSF Individual Grant DMS-0700427
2010-2013: NSF Individual Grant DMS-1001182
2014-2017: NSF Individual Grant -DMS- 1362208
2018-2023: NSF Individual Grant -DMS- 1800251
E2.
As Co-Principal Investigator
2004: NSF Grant for Constructive
Function Theory Tech-04.
2005-2007: BSF Award (Israel-US Binational Science Foundation award) with PI
Avram Sidi (Technion) and Eli Levin (Open University of Israel)
2009-2014: BSF Award (Israel-US Binational Science Foundation award
2008399) with PI Avram Sidi (Technion) and Eli Levin (Open University of
Israel)
2014: NSF Conference Award DMS-1363146, for "Constructive Functions 2014
and School" with Doug Hardin and Brian Simanek.
2017: NSF Conference Award DMS-DMS- 1713763, for CMFT 2017
V. Education
A. Courses Taught
Fall 2023 Math6337 Graduate real Analysis 1 (about 30 students)
Summer 2023 Math4317 Undergraduate Real Analysis
Spring 2023 Math2551 Calculus III (about 230 students at end)
Fall 2022 Math2551 Calculus III (156
students at end)
Summer 2022 Math4317
Undergraduate Real Analysis I (20 students at end)
Spring
2022
Math2551 Calculus III (about 250 students
at the end)
Fall 2021
Math2550 Introduction to Multivariable Calculus
(about 155 students at end)
Summer
2021
Math4317 Undergraduate Real Analysis I (28
students at end)
Spring
2021
Math2550 Introduction to Multivariable
Calculus, 385 students at end of course
Fall 2020 Math6337 Real Analysis I
(Graduate) About 25 students at end
Spring 2020 Math2551 About 580 students
Fall 2019 Math6337 Real
Analysis I (Graduate) About 34 students at end
Spring 2019 Math2551 About 585 students at start of class,
573 at end.
Fall
2018
Math6337 Real Analysis I (Graduate) At
start of course, 30 students
Fall
2018
Math8900 Approximation Theory
(reading course, 1 student)
Summer
2018
Math8900 Orthogonal Polynomials (reading
course, 1 student)
Spring
2018
Math8900 Potential Theory (reading course,
1 student)
Spring
2018
Math2551 Calculus
III
At end of course, about 570 students (135 on campus, and 435 distance)
Fall
2017
Math6337 Real Analysis I (Grad) At end of
course, 25 students
Summer
2017
Math2551 Calculus
III
At end of course, about 84 students (campus and online)
Spring 2017
Math2551 Calculus
III
At end of course, 132 on campus students and 436 distance students
Fall
2016
Math8803 Potential
Theory Two students
completed the course
Summer
2016
Math6338 Real Analysis II(Grad) Two
(sic!) students
Spring
2016
Math2551 Calculus
III
About 310 students at start (high school, on campus)
Summer 2015 (half) Math1522
Linear Algebra About 25 students
Spring 2015
Math1502 Calculus II
About 240 students
Summer 2014 (half) Math1502 Calculus
II About 70
students
Spring 2014
Math1502 Calculus II
About 240 students
Spring 2013
Math1502 Calculus II
About 330 students at start, about 312
at end.
Spring 2013 Math
8900 Special Problems (Orthogonal Polynomials)
1 student
Fall 2012
None - due to Undergraduate Coordinator duties
Summer 2012 (half) Math4581
Classical Math Methods in Engineering About 25 students at start
Spring 2012
Math1502 Calculus II
About 370 students at start
B. Individual Student Guidance
B1. PhD Students
Ulfar Stefansson(2006-2010)
B3. Undergraduate Students (REU)
Vy Nguyen (May/June/July 2012)
Andrea Martinez (May/June/July 2017)
Chenlu Wang (May - July, 2017)
Gidon Kowalsky (May-July, 2019)
Cooper Billsborough, Michael
Freedman, Samuel Hart, Gidon Kowalsky, Ari Pomeranz, Ana Sammel (May-July 2020)
Cooper
Billsborough, Sarah Gold, Ephraim Linder, Jiahui Yu (June-July 2021)
VI. Service
A. Professional Contributions
Conference Organization
1) Co-organizer, Special session,
"Orthogonal Polynomials and Their Applications to Approximation
Theory", Nashville, 2011.
2) Co-organizer, Special session on
Asymptotics of Orthogonal Polynomials, SIAM 2013, San Diego, July 8-12,
2013.
3) Scientific Committee of Third Jaen Conference on Approximation Theory,
July 15-20, Ubeda, 2012.
4) Co-organizer of Constructive Functions 2014, Vanderbilt University, May
2014.
5) Organizer of Special Session on
Asymptotics of Orthogonal Polynomials, at OPSFA-13, June 1-5, 2015, Washington
DC.
6) Scientific Committee of Seventh Jaen Conference on Approximation
Theory, July 3-8, Ubeda, 2016.
7) Coorganizer of Special Session on Orthogonal polynomials (Special Session
#17) at the 2017 Joint Mathematics Meeting in Atlanta, GA, Jan. 4-7, 2017.
8) Co-organizer of CMFT Conference, Lublin, Poland, July 2017.
9) Scientific Committee of
Eighth Jaen Conference on Approximation Theory, July 2-7, Ubeda, 2017.
10) Coorganizer of ?Analysis,
Approximation Theory, Operator Theory and their Interactions? March
2018, in honor of the 70th birthday of Paul Nevai, and 80th birthday of Boris
Mityagin.
11) Coorganizer of American
Institute of Mathematics Workshop "Zeros of Random Polynomials",
August 2019, California.
12) Scientific Committee
of Ninth Jaen Conference on Approximation Theory, July 8-13 Ubeda, 2018.
13) Scientific Committee of 15th
OPSFA, Linz, Austria, July 22-26, 2019.
14) Scientific Committee
of Tenth Jaen Conference on Approximation Theory, June 30 - July 5, 2019.
15) Scientific Committee of Tenth Jaen Conference on Approximation
Theory, June 30 - July 5, 2019.
16) Co-organizer of American
Institute of Mathematics Workshop, Zeros of Random Polynomials, August 12 -
August 16, San Jose, CA.
17) Co-organizer of CMFT 2021, via
Zoom, January 10-14, 2022.
18) Coorganizer of SaffFest 2025 (80th birthday of Ed Saff)
19) Coorganizer of CMFT2026.
Editorial Activities
Associate Editor for:
1) Journal of Approximation Theory;
2) Constructive Approximation;
3) Quaestiones Mathematicae (Journal of the S. A. Math. Soc. (1990’s-2019);
4) ETNA (Electronic Transactions on Numerical Analysis) (1995-2003) (2006 -
2009);
5) Chief Editor for Computational Methods and Function Theory (2016-)
6) Chief Guest Editor for the Proceedings of Constructive Functions Tech-04
(appeared as Volume 25 of ETNA).
7) Editor (together with Brian Simanek and Doug Hardin) of "Modern Trends
in Constructive Function Theory", Volume 661(2016) of Contermporary
Mathematics, Proceedings of the Conference in Honor of Ed Saff's 70th Birthday.
8) Editorial Advisory Board for Demonstratio Mathematica (2018-)
C. Institute Contributions
1) Undergraduate Coordinator (Fall
2009 - Fall 2014)
2) Member, Senior Promotions and Tenure Committee, 2018-2021
3) Secretary, Hiring Committee, Fall 2018-Spring 2019
4) Junior Promotion and Tenure Committee, 2019-2020.
5) FAC, 2022-
E. Grants
E