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Orthogonal Polynomials for Exponential Weights 2001 Edition
Contributor(s): Levin, Eli (Author), Lubinsky, Doron S. (Author)

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 ISBN: 0387989412     ISBN-13: 9780387989419
Publisher: Springer
OUR PRICE: $52.24  

Binding Type: Hardcover - See All Available Formats & Editions
Published: June 2001
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Annotation: The analysis of orthogonal polynomials associated with general weights has been a major theme in classical analysis this century. The use of potential theory since the early 1980's had a dramatic influence on the development of orthogonal polynomials associated with weights on the real line. For many applications of orthogonal polynomials, for example in approximation theory and numerical analysis, it is not asymptotics but certain bounds that are most important. 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 and potential theory, as well as in some branches of engineering.

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Additional Information
BISAC Categories:
- Mathematics | Mathematical Analysis
Dewey: 511.6
LCCN: 00069253
Series: CMS Books in Mathematics
Physical Information: 1.11" H x 6.4" W x 9.54" L (1.81 lbs) 476 pages
Features: Bibliography, Index
 
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Publisher Description:
The analysis of orthogonal polynomials associated with general weights has been a major theme in classical analysis this century. The use of potential theory since the early 1980 s had a dramatic influence on the development of orthogonal polynomials associated with weights on the real line. For many applications of orthogonal polynomials, for example in approximation theory and numerical analysis, it is not asymptotics but certain bounds that are most important. 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 and potential theory, as well as in some branches of engineering.
 
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