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Strong Asymptotics for Extremal Polynomials Associated with Weights on R

Strong Asymptotics for Extremal Polynomials Associated with Weights on R

Paperback

Series: Lecture Notes in Mathematics, Book 1305

General Mathematics

ISBN10: 3540189580
ISBN13: 9783540189589
Publisher: Springer
Published: Mar 9 1988
Pages: 156
Weight: 0.54
Height: 0.36 Width: 6.14 Depth: 9.21
Language: English
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 self-contained, with proofs involving elementary complex analysis, and the theory of orthogonal and extremal polynomials. It should be of interest to research workers in approximation theory and orthogonal polynomials.

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General Mathematics