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Advanced Problems in Constructive Approximation

3rd International Dortmund Meeting on Approximation Theory (IDoMAT) 2001

  • Martin D. Buhmann
  • Detlef H. Mache

Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 142)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Marcel G. de Bruin, Detlef H. Mache
    Pages 21-26
  3. Wolfgang zu Castell, Frank Filbir
    Pages 27-38
  4. Noemí Laín Fernández
    Pages 39-52
  5. V. N. Konovalov, D. Leviatan
    Pages 79-94
  6. Rupert Lasser, Detlef H. Mache, Josef Obermaier
    Pages 95-107
  7. Carl H. Rohwer
    Pages 165-186
  8. Robert Schaback, Holger Wendland
    Pages 203-222
  9. László Szili, Péter Vértesi
    Pages 237-254
  10. Vilmos Totik
    Pages 263-274

About these proceedings

Introduction

The current form of modern approximation theory is shaped by many new de­ velopments which are the subject of this series of conferences. The International Meetings on Approximation Theory attempt to keep track in particular of fun­ damental advances in the theory of function approximation, for example by (or­ thogonal) polynomials, (weighted) interpolation, multivariate quasi-interpolation, splines, radial basis functions and several others. This includes both approxima­ tion order and error estimates, as well as constructions of function systems for approximation of functions on Euclidean spaces and spheres. It is a piece of very good fortune that at all of the IDoMAT meetings, col­ leagues and friends from all over Europe, and indeed some count ries outside Europe and as far away as China, New Zealand, South Africa and U.S.A. came and dis­ cussed mathematics at IDoMAT conference facility in Witten-Bommerholz. The conference was, as always, held in a friendly and congenial atmosphere. After each meeting, the delegat es were invited to contribute to the proceed­ ing's volume, the previous one being published in the same Birkhäuser series as this one. The editors were pleased about the quality of the contributions which could be solicited for the book. They are refereed and we should mention our gratitude to the referees and their work.

Keywords

Approximation Interpolation Numerical analysis approximation theory computational mathematics fourier analysis operator theory

Editors and affiliations

  • Martin D. Buhmann
    • 1
  • Detlef H. Mache
    • 2
  1. 1.Mathematical InstituteJustus-Liebig UniversityGiessenGermany
  2. 2.Institute of Applied MathematicsUniversity of DortmundDortmundGermany

Bibliographic information

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