Christoffel Functions and Orthogonal Polynomials for Exponential Weights on $[-1, 1]$

Christoffel Functions and Orthogonal Polynomials for Exponential Weights on $[-1, 1]$
Author :
Publisher : American Mathematical Soc.
Total Pages : 166
Release :
ISBN-10 : 9780821825990
ISBN-13 : 0821825992
Rating : 4/5 (992 Downloads)

Book Synopsis Christoffel Functions and Orthogonal Polynomials for Exponential Weights on $[-1, 1]$ by : A. L. Levin

Download or read book Christoffel Functions and Orthogonal Polynomials for Exponential Weights on $[-1, 1]$ written by A. L. Levin and published by American Mathematical Soc.. This book was released on 1994 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bounds for orthogonal polynomials which hold on the 'whole' interval of orthogonality are crucial to investigating mean convergence of orthogonal expansions, weighted approximation theory, and the structure of weighted spaces. This book focuses on a method of obtaining such bounds for orthogonal polynomials (and their Christoffel functions) associated with weights on [-1,1]. Also presented are uniform estimates of spacing of zeros of orthogonal polynomials and applications to weighted approximation theory.


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