Orthogonal polynomials for exponential weights
著者
書誌事項
Orthogonal polynomials for exponential weights
（CMS books in mathematics, 4）
Springer, c2001
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注記
Bibliographical references: p. [455]-469
Includes index
内容説明・目次
内容説明
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.
目次
* 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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