Lubinsky, Doron S. On zeros, bounds, and asymptotics for orthogonal polynomials on the unit circle. (English. Russian original) Zbl 07733509 Sb. Math. 213, No. 11, 1512-1529 (2022); translation from Mat. Sb. 213, No. 11, 31-49 (2022). MSC: 42C05 PDFBibTeX XMLCite \textit{D. S. Lubinsky}, Sb. Math. 213, No. 11, 1512--1529 (2022; Zbl 07733509); translation from Mat. Sb. 213, No. 11, 31--49 (2022) Full Text: DOI MNR
Levin, Eli; Lubinsky, D. S. Asymptotics for orthogonal polynomials and separation of their zeros. (English) Zbl 1517.42025 J. Approx. Theory 281-282, Article ID 105804, 11 p. (2022). MSC: 42C05 PDFBibTeX XMLCite \textit{E. Levin} and \textit{D. S. Lubinsky}, J. Approx. Theory 281--282, Article ID 105804, 11 p. (2022; Zbl 1517.42025) Full Text: DOI
Lubinsky, Doron S. Pointwise asymptotics for orthonormal polynomials at the endpoints of the interval via universality. (English) Zbl 1442.42065 Int. Math. Res. Not. 2020, No. 4, 961-982 (2020). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{D. S. Lubinsky}, Int. Math. Res. Not. 2020, No. 4, 961--982 (2020; Zbl 1442.42065) Full Text: DOI
Levin, Eli; Lubinsky, Doron S. Local limits for orthogonal polynomials for varying measures via universality. (English) Zbl 1442.42063 J. Approx. Theory 254, Article ID 105394, 20 p. (2020). Reviewer: Pablo Alejandro Rocha (Buenos Aires) MSC: 42C05 41A60 PDFBibTeX XMLCite \textit{E. Levin} and \textit{D. S. Lubinsky}, J. Approx. Theory 254, Article ID 105394, 20 p. (2020; Zbl 1442.42063) Full Text: DOI
Lubinsky, D. S.; Sidi, A. Polynomials biorthogonal to dilations of measures, and their asymptotics. (English) Zbl 1253.42021 J. Math. Anal. Appl. 397, No. 1, 91-108 (2013). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 42C05 41A60 PDFBibTeX XMLCite \textit{D. S. Lubinsky} and \textit{A. Sidi}, J. Math. Anal. Appl. 397, No. 1, 91--108 (2013; Zbl 1253.42021) Full Text: DOI
Lubinsky, D. S. A maximal function approach to Christoffel functions and Nevai’s operators. (English) Zbl 1235.42025 Constr. Approx. 34, No. 3, 357-369 (2011). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 42C05 PDFBibTeX XMLCite \textit{D. S. Lubinsky}, Constr. Approx. 34, No. 3, 357--369 (2011; Zbl 1235.42025) Full Text: DOI
Lubinsky, D. S. Averages of ratios of Christoffel functions for compactly supported measures. (English) Zbl 1229.42029 East J. Approx. 17, No. 2, 159-170 (2011). MSC: 42C05 PDFBibTeX XMLCite \textit{D. S. Lubinsky}, East J. Approx. 17, No. 2, 159--170 (2011; Zbl 1229.42029)
Levin, Eli; Lubinsky, Doron S. Universality limits at the soft edge of the spectrum via classical complex analysis. (English) Zbl 1235.42023 Int. Math. Res. Not. 2011, No. 13, 3006-3070 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 28A25 33C10 33C45 PDFBibTeX XMLCite \textit{E. Levin} and \textit{D. S. Lubinsky}, Int. Math. Res. Not. 2011, No. 13, 3006--3070 (2011; Zbl 1235.42023) Full Text: DOI Link
Levin, E.; Lubinsky, D. S. Asymptotics of derivatives of orthogonal polynomials on the real line. (English) Zbl 1164.42020 Acta Math. Hung. 118, No. 1-2, 115-127 (2008). MSC: 42C05 41A60 PDFBibTeX XMLCite \textit{E. Levin} and \textit{D. S. Lubinsky}, Acta Math. Hung. 118, No. 1--2, 115--127 (2008; Zbl 1164.42020) Full Text: DOI
Lubinsky, D. S. Asymptotics of derivatives of orthogonal polynomials on the unit circle. (English) Zbl 1113.41008 J. Approximation Theory 145, No. 1, 122-127 (2007). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A10 42C05 33C45 PDFBibTeX XMLCite \textit{D. S. Lubinsky}, J. Approx. Theory 145, No. 1, 122--127 (2007; Zbl 1113.41008) Full Text: DOI
Geronimo, J. S.; Lubinsky, D. S.; Marcellan, F. Asymptotics for Sobolev orthogonal polynomials for exponential weights. (English) Zbl 1105.42016 Constructive Approximation 22, No. 3, 309-346 (2005). MSC: 42C05 26C05 PDFBibTeX XMLCite \textit{J. S. Geronimo} et al., Constr. Approx. 22, No. 3, 309--346 (2005; Zbl 1105.42016) Full Text: DOI Link
Chen, Y.; Lubinsky, D. S. Smallest eigenvalues of Hankel matrices for exponential weights. (English) Zbl 1056.15008 J. Math. Anal. Appl. 293, No. 2, 476-495 (2004). Reviewer: Witold Wiȩsław (Wrocław) MSC: 15A18 15B57 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{D. S. Lubinsky}, J. Math. Anal. Appl. 293, No. 2, 476--495 (2004; Zbl 1056.15008) Full Text: DOI
Levin, Eli; Lubinsky, Doron S. Orthogonal polynomials for exponential weights. (English) Zbl 0997.42011 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. 4. New York, NY: Springer. xi, 476 p. (2001). Reviewer: Walter Van Assche (Leuven) MSC: 42C05 41A10 42-02 41-02 PDFBibTeX XMLCite \textit{E. Levin} and \textit{D. S. Lubinsky}, Orthogonal polynomials for exponential weights. New York, NY: Springer (2001; Zbl 0997.42011)
Lubinsky, D. S. Asymptotics of orthogonal polynomials: Some old, some new, some identities. (English) Zbl 0966.42014 Acta Appl. Math. 61, No. 1-3, 207-256 (2000). Reviewer: Walter Van Assche (Leuven) MSC: 42C05 PDFBibTeX XMLCite \textit{D. S. Lubinsky}, Acta Appl. Math. 61, No. 1--3, 207--256 (2000; Zbl 0966.42014) Full Text: DOI
Lubinsky, D. S. Asymptotic behavior of entire functions with positive coefficients: Research problems 2000-2. (English) Zbl 0956.41020 Constructive Approximation 16, No. 2, 313-316 (2000). Reviewer: Matthew He (Ft.Lauderdale) MSC: 41A60 PDFBibTeX XMLCite \textit{D. S. Lubinsky}, Constr. Approx. 16, No. 2, 313--316 (2000; Zbl 0956.41020) Full Text: DOI
Levin, A. L.; Lubinsky, D. S. Orthogonal polynomials and Christoffel functions for \(\text{exp}(- | x|)^ \alpha\), \(\alpha\leq 1\). (English) Zbl 0837.42012 J. Approximation Theory 80, No. 2, 219-252 (1995). Reviewer: V.Totik (Szeged) MSC: 42C05 PDFBibTeX XMLCite \textit{A. L. Levin} and \textit{D. S. Lubinsky}, J. Approx. Theory 80, No. 2, 219--252 (1995; Zbl 0837.42012) Full Text: DOI
Levin, A. L.; Lubinsky, D. S. Bounds for orthogonal polynomials for exponential weights on \((-1,1)\) and \((-\infty,\infty)\). (English) Zbl 0826.42021 Altomare, F. (ed.) et al., Proceedings of the 2nd international conference in functional analysis and approximation theory, Acquafredda di Maratea (Potenza), September 14-19, 1992. Palermo: Circolo Matemático di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 33, 75-96 (1994). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{A. L. Levin} and \textit{D. S. Lubinsky}, in: Proceedings of the 2nd international conference in functional analysis and approximation theory, Acquafredda di Maratea (Potenza), September 14- 19, 1992. Palermo: Circolo Matemático di Palermo. 75--96 (1994; Zbl 0826.42021)
Lubinsky, D. S.; Sidi, A. Strong asymptotics for polynomials biorthogonal to powers of \(\log X\). (English) Zbl 0814.30022 Analysis 14, No. 4, 341-379 (1994). Reviewer: H.Stahl (Berlin) MSC: 30E15 41A60 30C15 30C10 PDFBibTeX XMLCite \textit{D. S. Lubinsky} and \textit{A. Sidi}, Analysis 14, No. 4, 341--379 (1994; Zbl 0814.30022) Full Text: DOI
Lubinsky, D. S.; Saff, E. B. Sufficient conditions for asymptotics associated with weighted extremal problems on R. (English) Zbl 0688.41035 Rocky Mt. J. Math. 19, No. 1, 261-270 (1989). MSC: 41A60 PDFBibTeX XMLCite \textit{D. S. Lubinsky} and \textit{E. B. Saff}, Rocky Mt. J. Math. 19, No. 1, 261--270 (1989; Zbl 0688.41035) Full Text: DOI
Knopfmacher, Arnold; Lubinsky, D. S. Asymptotic behaviour of the ratio of Christoffel functions for weights \(W^ 2\) and \(W^ 2g\). (English) Zbl 0647.42015 J. Approximation Theory 52, No. 3, 293-314 (1988). Reviewer: A.N.Srivastava MSC: 42C05 41A10 PDFBibTeX XMLCite \textit{A. Knopfmacher} and \textit{D. S. Lubinsky}, J. Approx. Theory 52, No. 3, 293--314 (1988; Zbl 0647.42015) Full Text: DOI
Lubinsky, D. S.; Saff, E. B. Strong asymptotics for extremal polynomials associated with weights on \({\mathbb{R}}\). (English) Zbl 0647.41001 Lecture Notes in Mathematics, 1305. Berlin etc.: Springer-Verlag. VII, 153 p.; DM 28.50 (1988). Reviewer: S.Sharma MSC: 41-02 41A50 41A25 42C05 PDFBibTeX XMLCite \textit{D. S. Lubinsky} and \textit{E. B. Saff}, Strong asymptotics for extremal polynomials associated with weights on \({\mathbb{R}}\). Berlin etc.: Springer-Verlag (1988; Zbl 0647.41001) Full Text: DOI
Lubinsky, D. S.; Saff, E. B. Strong asymptotics for \(L_ p\) extremal polynomials \((1<p\leq \infty)\) associated with weights on \([-1,1]\). (English) Zbl 0638.41028 Approximation theory, Proc. Semin., Tampa/Fla. 1985/86, Lect. Notes Math. 1287, 83-104 (1987). MSC: 41A60 42C05 PDFBibTeX XML
Knopfmacher, Arnold; Lubinsky, D. S. Analogues of Freud’s conjecture for Erdős type weights and related polynomial approximation problems. (English) Zbl 0638.41009 Approximation theory, Proc. Semin., Tampa/Fla. 1985/86, Lect. Notes Math. 1287, 21-69 (1987). MSC: 41A10 PDFBibTeX XML