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Progress in approximation theory : an international perspective

  • 作者: Gonchar, A. A Andrei A
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  • 其他題名:
    • Springer series in computational mathematics ;
  • 出版: New York : Springer-Verlag
  • 叢書名: Springer series in computational mathematics ;19
  • 主題: Approximation theory--Congresses
  • ISBN: 0387979018 : (New York Berlin Heidelberg : acid-free paper): US$79.00 、 3540979018 (Berlin Heidelberg New York : acid-free paper)
  • 資料類型: 圖書
  • 內容註: Includes bibliographical references "Proceedings of an international conference on approximation theory that was held March 19 to 22, 1990, at the University of South Florida, Tampa"--P. v
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  • 系統號: 005154006 | 機讀編目格式
  • 館藏資訊

    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.

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