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Approximation Theory, Spline Functions and Applications

  • Book
  • © 1992

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Editors:
  1. S. P. Singh

    1. Memorial University of Newfoundland, Canada

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Part of the book series: Nato Science Series C: (ASIC, volume 356)

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Table of contents (34 chapters)

  1. New Results on Lagrange Interpolation

    • G. Criscuolo, G. Mastroianni
    Pages 333-340

  2. Ambiguous Loci in Best Approximation Theory

    • F. S. De Blasi, J. Myjak
    Pages 341-349

  3. A Theorem on Best Approximations in Topological Vector Spaces

    • E. De Pascale, G. Trombetta
    Pages 351-355

  4. On the Characterization of Totally Positive Matrices

    • M. Gasca, J. M. Peña
    Pages 357-364

  5. Iterative Methods For the General Order Complementarity Problem

    • G. Isac
    Pages 365-380

  6. Wavelets, Splines and Divergence-Free Vector Functions

    • Pierre-Gilles Lemarie-Rieusset
    Pages 381-390

  7. An Approach to Meromorphic Approximation in a Stein Manifold

    • Clement H. Lutterodt
    Pages 391-403

  8. Approximating Fixed Points For Nonexpansive Maps in Hubert Spaces

    • Giuseppe Marino
    Pages 405-409

  9. On Approximation and Interpolation of Convex Functions

    • Marian Neamtu
    Pages 411-418

  10. Convergence of Approximating Fixed Point Sets For Multivalued Nonexpansive Mappings

    • Paolamaria Pietramala
    Pages 419-422

  11. A Subdivision Algorithm For Non—Uniform B—Splines

    • Ruibin Qu, John A. Gregory
    Pages 423-436

  12. Approximation Theorem For Fixed Points of Multi-Valued Contractions

    • Biagio Ricceri
    Pages 437-444

  13. Geometrical Differentiation and High—Accuracy Curve Interpolation

    • Robert Schaback
    Pages 445-462

  14. On Best Simultaneous Approximation in Normed Linear Spaces

    • V. M. Sehgal, S. P. Singh
    Pages 463-470

  15. Some Examples Concerning Projection Constants

    • Boris Shekhtman
    Pages 471-476

  16. Back Matter

    Pages 477-479
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Keywords

About this book

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.

Editors and Affiliations

  • Memorial University of Newfoundland, Canada

    S. P. Singh

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