Christoffel Functions And Orthogonal Polynomials For Exponential Weights On 1 1
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Christoffel Functions and Orthogonal Polynomials for Exponential Weights on $[-1, 1]$
Author | : A. L. Levin |
Publisher | : American Mathematical Soc. |
Total Pages | : 166 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 0821825992 |
Download Christoffel Functions and Orthogonal Polynomials for Exponential Weights on $[-1, 1]$ Book in PDF, Epub and Kindle
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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