Approximation Theory and Functional Analysis

Approximation Theory and Functional Analysis

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This volume surveys the fields of approximation theory and functional analysis. Compiled in honour of G.G.Lorenz, regarded as the "father of modern approximation theory", it consists of invited papers representing up-to-date research by leading mathematicians in these fields.
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Product details

  • Hardback | 264 pages
  • 154.94 x 231.14 x 20.32mm | 589.67g
  • Academic Press Inc
  • San Diego, United States
  • English
  • index
  • 012174583X
  • 9780121745837

Review quote

This volume was compiled in honor of G.G. Lorentz on the occasion of his eightieth birthday. It consists of twenty invited papers, mainly surveys in approxiamtion theory and functional analysis, the two fields to which he devoted much of his professional life. This book includes an autobiography of Lorentz, his publications and doctoral students.
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Table of contents

Part 1 Research and survey articles: on Bernstein-Durrineyer polynomials with Jacob weights, H.Berens and Y.Xu; an overview of wavelets, C.Chui; a note on weak inequalities in Orlicz and Lorentz spaces, G.A.Edgar and L.Sucheston; bivariate Birkhoff interpolation - a survey, R.A.Lorentz; linear approximations of functions with several restricted derivatives, Y.Makovoz; some characterizations theorems for measures associated with orthogonal polynomials on the unit circle, K.Pan and E.B.Saff; box splines, cardinal series, and wavelets, S.D.Reimenschneider and Z.Shen; some aspects of the subspace structure of infinite dimensional banach space, H.Rosenthal; fairness and monotone curvature, J.Roulier et al; projections on 2-dimensional spaces, N.Tomczak-Jacgermann; real versus complex best rational approximation, R.S.Varga and A.Ruttan.
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