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Progress in Approximation Theory

An International Perspective

  • Conference proceedings
  • © 1992

Overview

Editors:
  1. A. A. Gonchar

    1. Steklov Mathematics Institute, Moscow GSP-1, Russia

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  2. E. B. Saff

    1. Institute for Constructive Mathematics, University of South Florida, Tampa, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Springer Series in Computational Mathematics (SSCM, volume 19)

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Table of contents (19 papers)

  1. Front Matter

    Pages i-xviii
    Download chapter PDF

  2. Difference Hypergeometric Functions

    • N. M. Atakishiyev, S. K. Suslov
    Pages 1-35

  3. Padé Approximants for Some q-Hypergeometric Functions

    • Mourad E. H. Ismail, Ron Perline, Jet Wimp
    Pages 37-50

  4. Summation Theorems for Basic Hypergeometric Series of Schur Function Argument

    • S. C. Milne
    Pages 51-77

  5. Orthogonal Polynomials, Recurrences, Jacobi Matrices, and Measures

    • P. Nevai
    Pages 79-104

  6. Szegő Type Asymptotics for Minimal Blaschke Products

    • A. L. Levin, E. B. Saff
    Pages 105-126

  7. Asymptotics of Hermite-Padé Polynomials

    • A. I. Aptekarev, Herbert Stahl
    Pages 127-167

  8. On the Rate of Convergence of Padé Approximants of Orthogonal Expansions

    • A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin
    Pages 169-190

  9. Spurious Poles in Diagonal Rational Approximation

    • D. S. Lubinsky
    Pages 191-213

  10. Expansions for Integrals Relative to Invariant Measures Determined by Contractive Affine Maps

    • Charles A. Micchelli
    Pages 215-239

  11. Approximation of Measures by Fractal Generation Techniques

    • Stephen Demko
    Pages 241-260

  12. Nonlinear Wavelet Approximation in the Space C(R d)

    • Ronald A. DeVore, Pencho Petrushev, Xiang Ming Yu
    Pages 261-283

  13. Completeness of Systems of Translates and Uniqueness Theorems for Asymptotically Holomorphic Functions

    • A. A. Borichev
    Pages 285-293

  14. Approximation by Entire Functions and Analytic Continuation

    • N. U. Arakelyan
    Pages 295-313

  15. Quasi-Orthogonal Hilbert Space Decompositions and Estimates of Univalent Functions. II

    • N. K. Nikolskii, V. I. Vasyunin
    Pages 315-331

  16. On the Differential Properties of the Rearrangements of Functions

    • V. I. Kolyada
    Pages 333-352

  17. A Class of I.M. Vinogradov’s Series and Its Applications in Harmonic Analysis

    • K. I. Oskolkov
    Pages 353-402

  18. A Lower Bound for the de Bruijn-Newman Constant Λ. II

    • T. S. Norfolk, A. Ruttan, R. S. Varga
    Pages 403-418

  19. On the Denseness of Weighted Incomplete Approximations

    • Peter Borwein, E. B. Saff
    Pages 419-429

  20. Asymptotics of Weighted Polynomials

    • M. v. Golitschek, G. G. Lorentz, Y. Makovoz
    Pages 431-451
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Keywords

About this book

Designed to give a contemporary international survey of research activities in approximation theory and special functions, this book brings together the work of approximation theorists from North America, Western Europe, Asia, Russia, the Ukraine, and several other former Soviet countries. Contents include: results dealing with q-hypergeometric functions, differencehypergeometric functions and basic hypergeometric series with Schur function argument; the theory of orthogonal polynomials and expansions, including generalizations of Szegö type asymptotics and connections with Jacobi matrices; the convergence theory for Padé and Hermite-Padé approximants, with emphasis on techniques from potential theory; material on wavelets and fractals and their relationship to invariant measures and nonlinear approximation; generalizations of de Brange's in equality for univalent functions in a quasi-orthogonal Hilbert space setting; applications of results concerning approximation by entire functions and the problem of analytic continuation; and other topics.

Editors and Affiliations

  • Steklov Mathematics Institute, Moscow GSP-1, Russia

    A. A. Gonchar

  • Institute for Constructive Mathematics, University of South Florida, Tampa, USA

    E. B. Saff

Bibliographic Information

  • Book Title: Progress in Approximation Theory

  • Book Subtitle: An International Perspective

  • Editors: A. A. Gonchar, E. B. Saff

  • Series Title: Springer Series in Computational Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-2966-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1992

  • Softcover ISBN: 978-1-4612-7737-8Published: 15 September 2011

  • eBook ISBN: 978-1-4612-2966-7Published: 06 December 2012

  • Series ISSN: 0179-3632

  • Series E-ISSN: 2198-3712

  • Edition Number: 1

  • Number of Pages: XVIII, 451

  • Topics: Numerical Analysis

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