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Multivariate Approximation Theory III

Proceedings of the Conference at the Mathematical Research Institute at Oberwolfach, Black Forest, January 20–26, 1985

  • Conference proceedings
  • © 1985

Overview

Editors:
  1. Walter Schempp

    1. Lehrstuhl für Mathematik I, Universität Siegen, Siegen, Germany

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  2. Karl Zeller

    1. Mathematisches Institut, Universität Tübingen, Tübingen, Germany

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 75)

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Table of contents (38 papers)

  1. Numerical Realization of Boundary Collocation Methods

    • Klaus Gürlebeck, Wolfgang Sprößig, Manfred Tasche
    Pages 206-217

  2. Interpolation by Polynomials and Natural Splines on Normal Lattices

    • H. Hakopian
    Pages 218-220

  3. Bivariate Approximation Procedures

    • Werner Haußmann, Karl Zeller
    Pages 221-231

  4. Construction and Applications of Hermite Interpolating Quadratic Spline Functions of two and three Variables

    • Gerhard Heindl
    Pages 232-252

  5. Hermite-Fejer and Higher Hermite-Fejer Interpolation with Boundary Conditions

    • Hans-Bernd Knoop
    Pages 253-261

  6. Some uniqueness problems in best Chebyshev and mean multivariate approximation

    • András Kroó
    Pages 262-269

  7. Minimal Projections in Tensor Product Spaces

    • W. A. Light
    Pages 270-276

  8. Convergence of Hermite-Fejér Interpolation via Korovkin’s Theorem

    • F. Locher
    Pages 277-285

  9. Cubature Error Bounds using Degrees of Approximation

    • Eberhard Luik
    Pages 286-297

  10. Square Functions in the Theory of Cesàro Summability of Double Orthogonal Series

    • Ferenc Móricz
    Pages 298-308

  11. Generalized Melkes Interpolation

    • Helmut Nienhaus
    Pages 309-321

  12. Approximation Theory and Analysis of Spectral Methods

    • Alfio Quarteroni
    Pages 322-331

  13. On Multivariate Polynomial L1 — Approximation to Zero and Related Coefficient Inequalities

    • Heinz-Joachim Rack
    Pages 332-342

  14. Abschätzungen von Lagrange-Quadratsummen für die Sphäre mit Hilfe gewisser Eigenwerte

    • M. Reimer
    Pages 343-348

  15. On Gabor Information Cells

    • Walter Schempp
    Pages 349-362

  16. Ein Beitrag zur Flächenapproximation über Unregelmässig Verteilten Daten

    • R. Schmidt
    Pages 363-369

  17. The Basis and Moment Problems of some Systems of Analytic Functions

    • Xie-Chang Shen
    Pages 370-379

  18. Normen von Projektionen in Mehreren Veränderlichen

    • Burkhard Sündermann
    Pages 380-387

  19. The Solution of Generalized Least Squares Problems

    • G. Alistair Watson
    Pages 388-400
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Keywords

About this book

The Fourth International Symposium on Multivariate Approximation Theory was held at the Oberwolfach Mathematical Research Insti­ tute, Black Forest, W.-Germany, during the week of January 20 - 26, 1985. The preceding conferences on this topic were held in 1976, 1979, and 1982 * . We were pleased to have more than 50 mathematicians from 13 countries in attendance. The program in­ cluded 40 lectures. These Proceedings form a record of most of the papers presented at the Symposium. The topics treated cover different problems on multivariate approximation such as polynomial approximation on simplices, multivariate splines (box-splines, dimension of spline spaces), blending methods, multivariate Hermite interpolation, data smoothing and surface representation, and multivariate summation methods. We would like to thank the director of the Oberwolfach Mathe­ matical Research Institute, Prof. Dr. M. Barner, and his staff for providing the facilities. Of the people who gave their time to help make this conference a success, we would like to mention in particular Prof. Dr. F.J. Delvos (Siegen), Dr. G. Baszenski (College Station, Texas), and Dipl.-Math. H. Nienhaus (Siegen). Finally, our thanks are due to Carl Einsele of Birkhauser Publishers for his valuable cooperation.

Editors and Affiliations

  • Lehrstuhl für Mathematik I, Universität Siegen, Siegen, Germany

    Walter Schempp

  • Mathematisches Institut, Universität Tübingen, Tübingen, Germany

    Karl Zeller

Bibliographic Information

  • Book Title: Multivariate Approximation Theory III

  • Book Subtitle: Proceedings of the Conference at the Mathematical Research Institute at Oberwolfach, Black Forest, January 20–26, 1985

  • Editors: Walter Schempp, Karl Zeller

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-9321-3

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag Basel 1985

  • Hardcover ISBN: 978-3-7643-1738-6Due: 01 January 1985

  • Softcover ISBN: 978-3-0348-9995-6Published: 01 October 2011

  • eBook ISBN: 978-3-0348-9321-3Published: 07 March 2013

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: 400

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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