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Rational Approximation of Real Functions


Part of Encyclopedia of Mathematics and its Applications

  • Date Published: March 2011
  • availability: Available
  • format: Paperback
  • isbn: 9780521177405

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About the Authors
  • Originally published in 1987, this book is devoted to the approximation of real functions by real rational functions. These are, in many ways, a more convenient tool than polynomials, and interest in them was growing, especially since D. Newman's work in the mid-sixties. The authors aim at presenting the basic achievements of the subject and, for completeness, also discuss some topics from complex rational approximation. Certain classical and modern results from linear approximation theory and spline approximation are also included for comparative purposes. This book will be of value to anyone with an interest in approximation theory and numerical analysis.

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    Product details

    • Date Published: March 2011
    • format: Paperback
    • isbn: 9780521177405
    • length: 384 pages
    • dimensions: 229 x 152 x 22 mm
    • weight: 0.56kg
    • availability: Available
  • Table of Contents

    1. Qualitative theory of linear approximation
    2. Qualitative theory of the best rational approximation
    3. Some classical results in the linear theory
    4. Approximation of some important functions
    5. Uniform approximation of some function classes
    6. Converse theorems for rational approximation
    7. Spline approximation and Besov spaces
    8. Relations between rational and spline approximations
    9. Approximation with respect to Hausdorff distance
    10. The o-effect
    11. Lower bounds
    12. Padé approximations
    Author index
    Notation and subject index.

  • Authors

    P. P. Petrushev

    Vasil Atanasov Popov

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