Christoffel Functions and Orthogonal Polynomials for Exponential Weights on (-1, 1) (Memoirs of the AMS) (Memoirs of the American Mathematical Society) - Softcover

Levin, A. L.; Lubinsky, D. S.

 
9780821825990: Christoffel Functions and Orthogonal Polynomials for Exponential Weights on (-1, 1) (Memoirs of the AMS) (Memoirs of the American Mathematical Society)
Softcover
ISBN 10: 0821825992 ISBN 13: 9780821825990
Publisher: American Mathematical Society, 1995

Synopsis

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]. Levin and Lubinsky obtain such bounds for weights that vanish strongly at 1 and -1. They also present uniform estimates of spacing of zeros of orthogonal polynomials and applications to weighted approximation theory.

"synopsis" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
1995
Language
English
ISBN 10 
0821825992
ISBN 13 
9780821825990
Binding
Paperback
Number of pages
146