Orthogonal Polynomials for Exponential Weights / Edition 1

Orthogonal Polynomials for Exponential Weights / Edition 1

by Eli Levin, Doron S. Lubinsky
     
 

ISBN-10: 0387989412

ISBN-13: 9780387989419

Pub. Date: 06/29/2001

Publisher: Springer New York

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

Overview

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.

Product Details

ISBN-13:
9780387989419
Publisher:
Springer New York
Publication date:
06/29/2001
Series:
CMS Books in Mathematics Series
Edition description:
2001
Pages:
476
Product dimensions:
9.21(w) x 6.14(h) x 1.06(d)

Table of Contents

* Introduction and Results
• Weighted Potential Theory: The Basics
• Basic Estimates for Q, a_t
• Restricted Range Inequalities
• Estimates for Measure and Potential
• Smoothness of /rho_t
• Weighted Polynomial Approximation
• Asymptotics of Extremal Errors
• Christoffel Functions
• Markov-Bernstein and Nikolskii Inequalities
• Zeros of Orthogonal Polynomials
• Bounds on Orthogonal Polynomials
• Further Bounds and Applications
• Asymptotics of Extremal Polynomials
• Asymptotics of Orthonormal Polynomials

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