Description

Book Synopsis
Presents functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned.

Table of Contents
Possibility of approximation, analytic functions Possibility of approximation, continued Interpolation and lemniscates Degree of convergence of polynomials. Overconvergence Best Approximation by polynomials Orthogonality and least squares Interpolation by polynomials Interpolation by rational functions Approximation by rational functions Interpolation and functions analytic in the unit circle Approximation with auxiliary conditions and to non-analytic functions Existence and uniqueness of rational functions of best approximation Appendix Bibliography Index.

Interpolation and Approximation by Rational Functions in the Complex Domain

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    A Paperback by American Mathem American Mathem

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      View other formats and editions of Interpolation and Approximation by Rational Functions in the Complex Domain by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date:
      ISBN13: 9780821810200, 978-0821810200
      ISBN10:

      Description

      Book Synopsis
      Presents functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned.

      Table of Contents
      Possibility of approximation, analytic functions Possibility of approximation, continued Interpolation and lemniscates Degree of convergence of polynomials. Overconvergence Best Approximation by polynomials Orthogonality and least squares Interpolation by polynomials Interpolation by rational functions Approximation by rational functions Interpolation and functions analytic in the unit circle Approximation with auxiliary conditions and to non-analytic functions Existence and uniqueness of rational functions of best approximation Appendix Bibliography Index.

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