Methods of Approximation Theory in Complex Analysis and Mathematical Physics. Leningrad, May 13-24, 1991.

Gonchar, Andrei A. und Edward B. Saff,

ISBN 10: 3540569316 / ISBN 13: 9783540569312

Published by Springer Berlin, 1993

About this Item

222 pages Ex-Library book in good condition. 9783540569312 Sprache: Englisch Gewicht in Gramm: 422.

Seller Inventory # 1160032

Bibliographic Details

• Title: Methods of Approximation Theory in Complex Analysis and Mathematical Physics. Leningrad, May 13-24, 1991.
• Publisher: Springer Berlin
• Publication Date: 1993
• Language: English
• ISBN 10: 3540569316
• ISBN 13: 9783540569312
• Binding: Soft cover
• Seller catalogs:
  • AA Varia

About this title

Synopsis

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.

Synopsis

This volume incorporates research papers and surveys written by participants to the International Scientific Programme on Approximation Theory, jointly supervised by the Institute for Constructive Mathematics of the University of South Florida at Tampa, USA, and the Euler International Mathematical Institute of St Petersburg, Russia. The aim of the programme was to present new developments in constructive approximation theory. The contributors discussed such topics as: the asymptotic behaviour of orthogonal polynomials; the rational approximation of classical functions; quadrature formulas; the theory of n-widths; nonlinear approximation in Hardy algebras; numerical results on best polynomial approximations; and wavelet analysis.