Orthogonal Polynomials for Exponential Weights

Name: Orthogonal Polynomials for Exponential Weights
Brand: Springer, Berlin
SKU: 9780387989419
Price: 1147 CZK
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Autor: Eli Levin, Doron S. Lubinsky

Jazyk:

Vazba: Pevná

Vydavatel: Springer, Berlin

Dostupnost: Skladem u dodavatele

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The analysis of orthogonal polynomials associated with general weights was a major theme in classica...

Informace o knize

Autor

Eli Levin, Doron S. Lubinsky

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2001

Stránek

476

EAN

9780387989419

ISBN

0387989412

Enbook ID

01385704

Vydavatel

Springer, Berlin

Hmotnost

818

Rozměry

155 x 235 x 26

Kompletní popis

The analysis of orthogonal polynomials associated with general weights was a major theme in classical analysis in the twentieth century, andundoubtedly will continue to grow in importance in the future.In this monograph, the authors investigate orthogonal polynomials for exponential weights defined on a finite or infinite interval. The interval should contain 0, but need not be symmetric about 0; likewise the weight need not be even. The authors establish bounds and asymptotics for orthonormal and extremal polynomials, and their associated Christoffel functions. They deduce bounds on zeros of extremal and orthogonal polynomials, and also establish Markov- Bernstein and Nikolskii inequalities.§The authors have collaborated actively since 1982 on various topics, and have published many joint papers, as well as a Memoir of the American Mathematical Society. The latter deals with a special case of the weights treated in this book. In many ways, this book is the culmination of 18 years of joint work on orthogonal polynomials, drawing inspiration from the works of many researchers in the very active field of orthogonal polynomials.

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Orthogonal Polynomials for Exponential Weights

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