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Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights

BuchKartoniert, Paperback
170 Seiten
Englisch
Springererschienen am21.02.20181st ed. 2018
This book will be of use to a wide community of mathematicians, physicists, and statisticians dealing with techniques of potential theory, orthogonal polynomials, approximation theory, as well as random matrices.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR58,84
E-BookPDF1 - PDF WatermarkE-Book
EUR58,84

Produkt

KlappentextThis book will be of use to a wide community of mathematicians, physicists, and statisticians dealing with techniques of potential theory, orthogonal polynomials, approximation theory, as well as random matrices.
Details
ISBN/GTIN978-3-319-72946-6
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2018
Erscheinungsdatum21.02.2018
Auflage1st ed. 2018
ReiheSpringerBriefs in Mathematics
Seiten170 Seiten
SpracheEnglisch
Gewicht283 g
IllustrationenVII, 170 p.
Artikel-Nr.43972162

Inhalt/Kritik

Inhaltsverzeichnis
Introduction.- Statement of Main Results.- Potential Theoretic Estimates.- Restricted Range Inequalities.- Bounds for Christoffel Functions.- Spacing of Zeros.- Bounds on Orthogonal Polynomials.- Markov-Bernstein Inequalities in L.- Discretization of Potentials.- Derivatives of Discretized Polynomials.- Weighted Polynomial Approximations.- Formulae Involving Bernstain-Szego Polynomials.- Asymptotics of Orthonormal Polynomials.- Further Bounds.- Universality Limits and Entropy Integrals.mehr
Kritik
"This book is written by two well-reputed specialists on orthogonal polynomials. Thus, It will be of great interest to those studying orthogonal polynomials, as well as Ph.D. students specializing in this or related areas. The structure of the text is nice. In fifteen short chapters the authors provide us with the statement of the results and their corresponding proofs in a rigorous and precise way." (Juan José Monero-Balcázar, Mathematical Reviews, October, 2018)mehr

Autor

Eli Levin is an emeritus professor at the Open University of Israel in Ramat Aviv.
Doron Lubinsky is a professor at Georgia Institute of Technology. Both are authors of papers on approximation theory, and a joint monograph on orthogonal polynomials.