[share_ebook] Methods of Approximation Theory in Complex Analysis and Mathematical Physics by Andrei A. Gonchar


Author: Edited by Andrei A. Gonchar, Edward B. Saff

Date: 1993-08-26

ISBN: 3540569316

Pages: 222

Language: English

Publisher: Springer

Category: Study

Tag: Mathematics


Posted on 2011-09-20, by LionFar.

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Title:Methods of Approximation Theory in Complex Analysis and Mathematical Physics by Andrei A. Gonchar
Author:Edited by Andrei A. Gonchar, Edward B. Saff
Publisher:Springer
ISBN:3540569316
ISBN13:
Date1993-08-26
Pages:222
Language:English
Format: DJVU
Size:1.47 MB

Description:The book incorporates research papers and surveys written by participants ofan International Scientific Programme on Approximation Theory jointly supervised by Institute for Constructive Mathematics of University of South Florida at Tampa, USA and the Euler International Mathematical Instituteat St. Petersburg, Russia. The aim of the Programme was to present new developments in Constructive Approximation Theory. The topics of the papers are: asymptotic behaviour of orthogonal polynomials, rational approximation of classical functions, quadrature formulas, theory of n-widths, nonlinear approximation in Hardy algebras,numerical results on best polynomial approximations, wavelet analysis. FROM THE CONTENTS: E.A. Rakhmanov: Strong asymptotics for orthogonal polynomials associated with exponential weights on R.- A.L. Levin, E.B. Saff: Exact Convergence Rates for Best Lp Rational Approximation to the Signum Function and for Optimal Quadrature in Hp.- H. Stahl: Uniform Rational Approximation of x .- M. Rahman, S.K. Suslov: Classical Biorthogonal Rational Functions.- V.P. Havin, A. Presa Sague: Approximation properties of harmonic vector fields and differential forms.- O.G. Parfenov: Extremal problems for Blaschke products and N-widths.- A.J. Carpenter, R.S. Varga: Some Numerical Results on Best Uniform Polynomial Approximation of x on 0,1 .- J.S. Geronimo: Polynomials Orthogonal on the Unit Circle with Random Recurrence Coefficients.- S. Khrushchev: Parameters of orthogonal polynomials.- V.N. Temlyakov: The universality of the Fibonacci cubature formulas.


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