Lecture Notes in Mathematics

Methods of Approximation Theory in Complex Analysis and Mathematical Physics

Leningrad, May 13-24, 1991

Editors: Gonchar, Andrei A., Saff, Edward B. (Eds.)

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About this book

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.

Table of contents (19 chapters)

Table of contents (19 chapters)

Buy this book

eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-540-47792-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $50.00
price for USA in USD
  • ISBN 978-3-540-56931-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Methods of Approximation Theory in Complex Analysis and Mathematical Physics
Book Subtitle
Leningrad, May 13-24, 1991
Editors
  • Andrei A. Gonchar
  • Edward B. Saff
Series Title
Lecture Notes in Mathematics
Series Volume
1550
Copyright
1993
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-47792-1
DOI
10.1007/BFb0117469
Softcover ISBN
978-3-540-56931-2
Series ISSN
0075-8434
Edition Number
1
Number of Pages
222
Topics