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On L1-Approximation

On L1-Approximation

£93.00

Part of Cambridge Tracts in Mathematics

  • Date Published: August 1989
  • availability: Available
  • format: Hardback
  • isbn: 9780521366502

£ 93.00
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  • This monograph is concerned with the qualitative theory of best L1-approximation from finite-dimensional subspaces. It presents a survey of recent research that extends 'classical' results concerned with best uniform approximation to the L1 case. The work is organized in such a way as to be useful for self-study or as a text for advanced courses. It begins with a basic introduction to the concepts of approximation theory before addressing one- or two-sided best approximation from finite-dimensional subspaces and approaches to the computation of these. At the end of each chapter is a series of exercises; these give the reader an opportunity to test understanding and also contain some theoretical digressions and extensions of the text.

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    Product details

    • Date Published: August 1989
    • format: Hardback
    • isbn: 9780521366502
    • length: 252 pages
    • dimensions: 234 x 152 x 18 mm
    • weight: 0.508kg
    • availability: Available
  • Table of Contents

    Preface
    1. Preliminaries
    2. Approximation from finite-dimensional subspaces of L1
    3. Approximation from finite-dimensional subspaces in C1 (K, µ)
    4. Unicity subspaces and property A
    5. One-sided L1-approximation
    6. Discrete lm1 - approximation
    7. Algorithms
    Appendices
    References
    Author index
    Subject index.

  • Author

    Allan M. Pinkus

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