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Birkhäuser

Advanced Problems in Constructive Approximation

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

  • Conference proceedings
  • © 2003

Overview

Editors:
  1. Martin D. Buhmann

    1. Mathematical Institute, Justus-Liebig University, Giessen, Germany

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  2. Detlef H. Mache

    1. Institute of Applied Mathematics, University of Dortmund, Dortmund, Germany

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  • State of the art in and applications of approximation theory

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

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Table of contents (19 papers)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Linear Perturbations of the Classical Orthogonal Polynomials which are Eigenfunctions of Linear Differential Operators

    • H. Bavinck
    Pages 1-20

  3. (0, 1) Pál-type Interpolation: A General Method for Regularity

    • Marcel G. de Bruin, Detlef H. Mache
    Pages 21-26

  4. De la Vallée Poussin Means for the Hankel Transform

    • Wolfgang zu Castell, Frank Filbir
    Pages 27-38

  5. Polynomial Bases on the Sphere

    • Noemí Laín Fernández
    Pages 39-52

  6. A Shooting Method for Symbolic Computation of Splines

    • Christoph Fredebeul
    Pages 53-62

  7. Error Estimates for the Carathéodory-Fejér Method in Polynomial Approximation

    • Manfred Hollenhorst
    Pages 63-78

  8. Shape Preserving Widths of Weighted Sobolev-Type Classes

    • V. N. Konovalov, D. Leviatan
    Pages 79-94

  9. On Approximation Methods by Using Orthogonal Polynomial Expansions

    • Rupert Lasser, Detlef H. Mache, Josef Obermaier
    Pages 95-107

  10. Curious q-Series as Counterexamples in Padé Approximation

    • D. S. Lubinsky
    Pages 109-128

  11. On the Degree of Approximation in Multivariate Weighted Approximation

    • H. N. Mhaskar
    Pages 129-141

  12. Semigroups Associated to Mache Operators

    • I. Rasa
    Pages 143-152

  13. A Survey on Lagrange Interpolation Based on Equally Spaced Nodes

    • Michael Revers
    Pages 153-164

  14. Multiresolution Analysis with Pulses

    • Carl H. Rohwer
    Pages 165-186

  15. H-splines and Quasi-interpolants on a Three Directional Mesh

    • Paul Sablonnière
    Pages 187-201

  16. Approximation by Positive Definite Kernels

    • Robert Schaback, Holger Wendland
    Pages 203-222

  17. Inequalities for Polynomials With Weights Having Infinitely many Zeros on the Real Line

    • József Szabados
    Pages 223-236

  18. Some Erdös-type Convergence Processes in Weighted Interpolation

    • László Szili, Péter Vértesi
    Pages 237-254

  19. Absolute Continuity of Spectral Measure for Certain Unbounded Jacobi Matrices

    • Ryszard Szwarc
    Pages 255-262

  20. Approximation on Compact Subsets of R

    • Vilmos Totik
    Pages 263-274
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About this book

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.

Editors and Affiliations

  • Mathematical Institute, Justus-Liebig University, Giessen, Germany

    Martin D. Buhmann

  • Institute of Applied Mathematics, University of Dortmund, Dortmund, Germany

    Detlef H. Mache

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