Strong Asymptotics for Extremal Polynomials Associated With Weights on R

Lubinsky, Doron S.; Saff, Edward B.

ISBN 10: 3540189580 ISBN 13: 9783540189589
Editorial: Springer, 1988
Usado Encuadernación de tapa blanda

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Sinopsis:

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.

Reseña del editor: 0. The results are consequences of a strengthened form of the following assertion: Given 0 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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Título: Strong Asymptotics for Extremal Polynomials ...
Editorial: Springer
Año de publicación: 1988
Encuadernación: Encuadernación de tapa blanda
Condición: As New

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