Orthogonal Polynomials for Exponential Wei...

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Beschreibung

The analysis of orthogonal polynomials associated with general weights has been a major theme in classical analysis this century. In this monograph the authors define and discuss their classes of weights, state several of their results on Christoffel functions, Bernstein inequalities, restricted range inequalities, and record their bounds on the orthogonal polynomials as well as their asymptotic results. This book will be of interest to researchers in approximation theory, potential theory, as well as in some branches of engineering.

Zusammenfassung

Inhaltsverzeichnis

1 Introduction and Results.- 2 Weighted Potential Theory: The Basics.- 3 Basic Estimates for Q, at.- 4 Restricted Range Inequalities.- 5 Estimates for Measure and Potential.- 6 Smoothness of ?t.- 7 Weighted Polynomial Approximation.- 8 Asymptotics of Extremal Errors.- 9 Christoffel Functions.- 10 Markov-Bernstein and Nikolskii Inequalities.- 11 Zeros of Orthogonal Polynomials.- 12 Bounds on Orthogonal Polynomials.- 13 Further Bounds and Applications.- 14 Asymptotics of Extremal Polynomials.- 15 Asymptotics of Orthonormal Polynomials.- B Bernstein-Szegö Orthogonal Polynomials.- Notes.- References.- List of Symbols.

Erscheinungsjahr:	2013
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	CMS Books in Mathematics
Inhalt:	xi 476 S.
ISBN-13:	9781461265634
ISBN-10:	1461265630
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Levin, Eli Lubinsky, Doron S.
Hersteller:	Springer Copernicus Springer US, New York, N.Y. CMS Books in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 27 mm
Von/Mit:	Eli Levin (u. a.)
Erscheinungsdatum:	14.02.2013
Gewicht:	0,739 kg