Title: Progress in Approximation Theory: An International Perspective (Springer Series in Computational Mathematics)
Publisher: Springer
Publication Date: 2011
Language: English
ISBN 10: 146127737X
ISBN 13: 9781461277378
Binding: Soft cover
Condition: New

About this title

Synopsis

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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