عنوان

Orthogonal Polynomials for Exponential Weights

شابک

9781461265634

شابک

9781461302018

شماره

b402609

عنوان اصلي

Orthogonal Polynomials for Exponential Weights

نام عام مواد

[Book]

نام نخستين پديدآور

by Eli Levin, Doron S. Lubinsky.

محل نشرو پخش و غیره

New York, NY :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

2001.

عنوان فروست

CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,

شاپا ي ISSN فروست

1613-5237

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

The analysis of orthogonal polynomials associated with general weights was a major theme in classical analysis in the twentieth century, and undoubtedly 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.

شماره استاندارد بين المللي کتاب و موسيقي

9781461265634

عنوان

Springer eBooks

موضوع مستند نشده

Combinatorics.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Topological Groups.

مستند نام اشخاص تاييد نشده

Levin, Eli.

مستند نام اشخاص تاييد نشده

Lubinsky, Doron S.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307160600.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y