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Approximation Theory and Spline Functions

  • Book
  • © 1984

Overview

Editors:
  1. S. P. Singh

    1. Department of Mathematics and Statistics, Memorial University, St. John’s, Canada

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  2. J. W. H. Burry

    1. Department of Mathematics and Statistics, Memorial University, St. John’s, Canada

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  3. B. Watson

    1. Department of Mathematics and Statistics, Memorial University, St. John’s, Canada

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Part of the book series: Nato Science Series C: (ASIC, volume 136)

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Table of contents (28 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Products of Polynomials

    • Bernard Beauzamy
    Pages 1-22

  3. Exchange Algorithms, Error Estimations and Strong Unicity in Convex Programming and Chebyshev Approximation

    • Hans-Peter Blatt
    Pages 23-63

  4. Four Lectures on Multivariate Approximation

    • E. W. Cheney
    Pages 65-87

  5. The Approximation of Certain Functions by Compound Means

    • D. M. E. Foster, G. M. Phillips
    Pages 89-95

  6. A Practical Method for Obtaining a Priori Error Bounds in Pointwise and Mean-Square Approximation Problems

    • Jean Meinguet
    Pages 97-125

  7. Surface Spline Interpolation: Basic Theory and Computational Aspects

    • Jean Meinguet
    Pages 127-142

  8. Interpolation of Scattered Data: Distance Matrices and Conditionally Positive Definite Functions

    • Charles A. Micchelli
    Pages 143-145

  9. Semi-Norms in Polynomial Approximation

    • G. M. Phillips, P. J. Taylor
    Pages 147-150

  10. On Spaces of Piecewise Polynomials in Two Variables

    • Larry L. Schumaker
    Pages 151-197

  11. Birkhoff Interpolation on the Roots of Unity

    • A. Sharma
    Pages 199-205

  12. Applications of Transformation Theory: A Legacy from Zolotarev (1847–1878)

    • John Todd
    Pages 207-245

  13. Explicit Algebraic Nth Order Approximations to PI

    • J. M. Borwein, P. B. Borwein
    Pages 247-256

  14. Solving Integral Equations of Nuclear Scattering by Splines

    • M. Brannigan
    Pages 257-264

  15. H-Sets for Non-Linear Constrained Approximation

    • M. Brannigan
    Pages 265-270

  16. Operator Pade Approximants: Some ideas behind the theory and a numerical illustration

    • Annie A. H. Cuyt
    Pages 271-288

  17. Harmonic Approximation

    • Myron Goldstein
    Pages 289-292

  18. Best Harmonic L1 Approximation to Subharmonic Functions

    • M. Goldstein, W. Haussman, K. Jetter
    Pages 293-295

  19. B-Splines on the Circle and Trigonometric B-Splines

    • T. N. T. Goodman, S. L. Lee
    Pages 297-325

  20. On Reducing the Computational Error in the Successive Approximations Method

    • Francois B. Guénard
    Pages 327-338
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Keywords

About this book

A NATO Advanced Study Institute on Approximation Theory and Spline Functions was held at Memorial University of Newfoundland during August 22-September 2, 1983. This volume consists of the Proceedings of that Institute. These Proceedings include the main invited talks and contributed papers given during the Institute. The aim of these lectures was to bring together Mathematicians, Physicists and Engineers working in the field. The lectures covered a wide range including ~1ultivariate Approximation, Spline Functions, Rational Approximation, Applications of Elliptic Integrals and Functions in the Theory of Approximation, and Pade Approximation. We express our sincere thanks to Professors E. W. Cheney, J. Meinguet, J. M. Phillips and H. Werner, members of the International Advisory Committee. We also extend our thanks to the main speakers and the invi ted speakers, whose contri­ butions made these Proceedings complete. The Advanced Study Institute was financed by the NATO Scientific Affairs Division. We express our thanks for the generous support. We wish to thank members of the Department of Mathematics and Statistics at MeMorial University who willingly helped with the planning and organizing of the Institute. Special thanks go to Mrs. Mary Pike who helped immensely in the planning and organizing of the Institute, and to Miss Rosalind Genge for her careful and excellent typing of the manuscript of these Proceedings.

Editors and Affiliations

  • Department of Mathematics and Statistics, Memorial University, St. John’s, Canada

    S. P. Singh, J. W. H. Burry, B. Watson

Bibliographic Information

  • Book Title: Approximation Theory and Spline Functions

  • Editors: S. P. Singh, J. W. H. Burry, B. Watson

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-009-6466-2

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1984

  • Hardcover ISBN: 978-90-277-1818-1Published: 30 September 1984

  • Softcover ISBN: 978-94-009-6468-6Published: 19 October 2011

  • eBook ISBN: 978-94-009-6466-2Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: IX, 485

  • Topics: Approximations and Expansions, Analysis

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