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Strong Asymptotics for Extremal Polynomials Associated with Weights on R de Doron S. Lubinsky

Strong Asymptotics for Extremal Polynomials Associated with Weights on R: Lecture Notes in Mathematics, cartea 1305

Autor Doron S. Lubinsky, Edward B. Saff
en Limba Engleză Paperback – 9 mar 1988
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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Specificații

ISBN-13: 9783540189589
ISBN-10: 3540189580
Pagini: 168
Ilustrații: VIII, 156 p.
Dimensiuni: 155 x 235 x 9 mm
Greutate: 0.25 kg
Ediția:1988
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

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Research

Cuprins

Notation and index of notation.- Statement of main results.- Weighted polynomials and zeros of extremal polynomials.- Integral equations.- Polynomial approximation of potentials.- Infinite-finite range inequalities and their sharpness.- The largest zeros of extremal polynomials.- Further properties of Un, R(x).- Nth root asymptotics for extremal polynomials.- Approximation by certain weighted polynomials, I.- Approximation by certain weighted polynomials, II.- Bernstein's formula and bernstein extremal polynomials.- Proof of the asymptotics for Enp(W).- Proof of the asymptotics for the Lp extremal polynomials.- The case p=2 : Orthonormal polynomials.