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© 1992

Approximation Theory, Spline Functions and Applications

  • S. P. Singh
Book

Part of the NATO ASI Series book series (ASIC, volume 356)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Frank Deutsch
    Pages 123-137
  3. M. v. Golitschek
    Pages 139-161
  4. Charles A. Micchelli
    Pages 191-212
  5. E. Casini, P. L. Papini
    Pages 243-253
  6. L. De Michele, M. Di Natale, D. Roux
    Pages 255-267
  7. Asuman G. Aksoy
    Pages 269-278
  8. A. S. Cavaretta, Shun Sheng Guo
    Pages 303-310
  9. G. Criscuolo, B. Della Vecchia, G. Mastroianni
    Pages 317-331

About this book

Introduction

These are the Proceedings of the NATO Advanced Study Institute on Approximation Theory, Spline Functions and Applications held in the Hotel villa del Mare, Maratea, Italy between April 28,1991 and May 9, 1991. The principal aim of the Advanced Study Institute, as reflected in these Proceedings, was to bring together recent and up-to-date developments of the subject, and to give directions for future research. Amongst the main topics covered during this Advanced Study Institute is the subject of uni­ variate and multivariate wavelet decomposition over spline spaces. This is a relatively new area in approximation theory and an increasingly impor­ tant subject. The work involves key techniques in approximation theory­ cardinal splines, B-splines, Euler-Frobenius polynomials, spline spaces with non-uniform knot sequences. A number of scientific applications are also highlighted, most notably applications to signal processing and digital im­ age processing. Developments in the area of approximation of functions examined in the course of our discussions include approximation of periodic phenomena over irregular node distributions, scattered data interpolation, Pade approximants in one and several variables, approximation properties of weighted Chebyshev polynomials, minimax approximations, and the Strang­ Fix conditions and their relation to radial functions. I express my sincere thanks to the members of the Advisory Commit­ tee, Professors B. Beauzamy, E. W. Cheney, J. Meinguet, D. Roux, and G. M. Phillips. My sincere appreciation and thanks go to A. Carbone, E. DePas­ cale, R. Charron, and B.

Keywords

Invariant Manifold Topology Variable calculus equation function mathematics theorem

Editors and affiliations

  • S. P. Singh
    • 1
  1. 1.Memorial University of NewfoundlandCanada

Bibliographic information

  • Book Title Approximation Theory, Spline Functions and Applications
  • Editors S.P. Singh
  • Series Title NATO ASI Series
  • DOI https://doi.org/10.1007/978-94-011-2634-2
  • Copyright Information Kluwer Academic Publishers 1992
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-7923-1574-2
  • Softcover ISBN 978-94-010-5164-4
  • eBook ISBN 978-94-011-2634-2
  • Series ISSN 1389-2185
  • Edition Number 1
  • Number of Pages XVI, 479
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
    Approximations and Expansions
    Mathematics, general
  • Buy this book on publisher's site
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