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  • Conference proceedings
  • © 1993

Methods of Approximation Theory in Complex Analysis and Mathematical Physics

Leningrad, May 13-24, 1991

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1550)

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Table of contents (19 papers)

  1. Front Matter

    Pages I-VIII
  2. Bernstein theorems for harmonic functions

    • Thomas Bagby, Norman Levenberg
    Pages 7-18
  3. Spectral theory of nonlinear equations and n-widths of Sobolev spaces

    • A. P. Buslaev, V. M. Tikhomirov
    Pages 19-30
  4. On wavelet analysis

    • Charles K. Chui
    Pages 31-42
  5. Strong asymptotics for orthogonal polynomials

    • E. A. Rakhmanov
    Pages 71-97
  6. Uniform rational approximation of |X|

    • Herbert Stahl
    Pages 110-130
  7. Classical biorthogonal rational functions

    • Mizan Rahman, S. K. Suslov
    Pages 131-146
  8. A direct proof for Trefethen’s conjecture

    • A. I. Aptekarev
    Pages 147-148
  9. Universality of the fibonacci cubature formulas

    • V. N. Temlyakov
    Pages 178-184
  10. Parameters of orthogonal polynomials

    • S. Khrushchev
    Pages 185-191

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.

Keywords

  • Approximation
  • Blaschke product
  • Complex analysis
  • Fourier expansions
  • Mathematical Physic
  • Pade aproximation
  • linear optimization
  • mathematical physics
  • orthogonal polynomials
  • potentials

Bibliographic Information

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 50.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions