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Birkhoff Interpolation

$77.00 (C)

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: March 2009
  • availability: Available
  • format: Paperback
  • isbn: 9780521104043

$ 77.00 (C)
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  • This reference book provides the main definitions, theorems and techniques in the theory of Birkhoff interpolation by polynomials. The book begins with an article by G. G. Lorentz that discusses some of the important developments in approximation and interpolation in the last twenty years. It presents all the basic material known at the present time in a unified manner. Topics discussed include; applications of Birkhoff interpolation to approximation theory, quadrature formulas and Chebyshev systems; lacunary interpolation at special knots and an introduction to the theory of Birkhoff interpolation by splines.

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    Product details

    • Date Published: March 2009
    • format: Paperback
    • isbn: 9780521104043
    • length: 296 pages
    • dimensions: 234 x 156 x 16 mm
    • weight: 0.42kg
    • availability: Available
  • Table of Contents

    1. Basic definitions and properties
    2. Further elementary theorems
    3. Coalescence of rows
    4. Applications of coalescence
    5. Rolle extensions and independent sets of knots
    6. Singular matrices
    7. Zeros of Birkhoff splines
    8. Almost-Hermitian matrices
    special three-row matrices
    9. Applications
    10. Birkhoff quadrature formulas
    11. Interpolation at the roots of unity
    12. Turan's problem of interpolation
    13. Birkhoff interpolation by splines
    14. Regularity theorems and self-dual problems
    Bibliography and references
    Indexes.

  • Authors

    G. G. Lorentz

    K. Jetter

    S. D. Riemenschneider

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