Description
Springer Orthogonal Polynomials For Exponential Weights 2001 Edition by Eli Levin, Doron S. Lubinsky
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. 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