Strong Asymptotics for Extremal Polynomials Associated with Weights on R

Name: Strong Asymptotics for Extremal Polynomials Associated with Weights on R
Price: 23.75 USD
Availability: InStock
ISBN: 9783540189589

ISBN-10: 3540189580

ISBN-13: 9783540189589

Edition: 1988

Authors: Doron S. Lubinsky, Edward B. Saff

List price: $39.99

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Description:

The aim of this research monograph is to establish strong, or SzegA type asymptotics for extremal polynomials associated with weights W(x): = exp (-Q(x)) on . While the Q(x) treated are fairly general - even and of smooth polynomial growth at infinity - a typical example is Q(x): =, 0. The results are consequences of a strengthened form of the following assertion: Given 0 , f Lp ( ) and a certain sequence of positive numbers associated with Q(x), there exist polynomials Pn of degree at most n, n = 1,2,3..., such that if and only if f(x) = 0 for a.e. "" 1. Auxiliary results include inequalities for weighted polynomials, and zeros of extremal polynomials. The monograph is fairly…

Book details

List price: $39.99
Copyright year: 1988
Publisher: Springer Berlin / Heidelberg
Publication date: 3/9/1988
Binding: Paperback
Pages: 156
Size: 6.10" wide x 9.25" long
Weight: 1.188
Language: English