書誌事項

Progress in approximation theory : an international perspective

A.A. Gonchar, E.B. Saff, editors

(Springer series in computational mathematics, 19)

Springer-Verlag, c1992

  • : us
  • : gw

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注記

"Proceedings of an international conference on approximation theory that was held March 19 to 22, 1990, at the University of South Florida, Tampa" -- pref

Includes bibliographical references

内容説明・目次

巻冊次

: us ISBN 9780387979014

内容説明

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 Szego type asymptotics and connections with Jacobi matrices; the convergence theory for Pade and Hermite-Pade 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."
巻冊次

: gw ISBN 9783540979012

内容説明

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 Szeg type asymptotics and connections with Jacobi matrices; the convergence theory for Pad and Hermite-Pad 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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