Christoffel functions and orthogonal polynomials for exponential weights on [-1,1]. Memoirs of the American Mathematical Society; Bd. 535.

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

ISBN 10: 0821825992 / ISBN 13: 9780821825990

Published by Providence, American Math. Soc, 1994

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03238 9780821825990 Sprache: Englisch Gewicht in Gramm: 150.

Seller Inventory # 2489142

Bibliographic Details

• Title: Christoffel functions and orthogonal polynomials for exponential weights on [-1,1]. Memoirs of the American Mathematical Society; Bd. 535.
• Publisher: Providence, American Math. Soc
• Publication Date: 1994
• Language: English
• ISBN 10: 0821825992
• ISBN 13: 9780821825990
• Binding: Softcover
• Condition: Gut
• Weight: 150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

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.

Review

Contains important ideas ... essential to anyone interested in the analysis of orthogonal polynomials. -- Journal of Approximation Theory