Volume 1105 1984

Rational Approximation and Interpolation

Proceedings of the United Kingdom - United States Conference held at Tampa, Florida, December 12–16, 1983

ISBN: 978-3-540-13899-0 (Print) 978-3-540-39113-5 (Online)

Table of contents (43 chapters)

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    Book Chapter

    Pages 1-10

    The faber operator

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    Pages 11-26

    Survey on recent advances in inverse problems of Padé approximation theory

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    Pages 27-48

    Some properties and applications of Chebyshev polynomial and rational approximation

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    Pages 49-72

    Polynomial, sinc and rational function methods for approximating analytic functions

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    Pages 73-88

    Rational approximation of fractals

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    Pages 89-99

    On rational approximation of the exponential and the square root function

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    Pages 100-108

    Padé-type approximants and linear functional transformations

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    Pages 109-116

    Continued fraction solution of the general Riccati equation

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    Pages 117-124

    Order stars, contractivity and a pick-type theorem

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    Pages 125-135

    Bernstein and markov inequalities for constrained polynomials

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    Pages 136-144

    Multivariate interpolation

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    Pages 145-149

    The strong uniqueness constant in complex approximation

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    Pages 150-159

    On the minimum moduli of normalized polynomials

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    Pages 160-169

    On the block structure of the Laurent-Padé table

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    Pages 170-181

    Square blocks and equioscillation in the Padé, walsh, and cf tables

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    Pages 182-188

    Properties of Padé approximants to stieltjes series and systems theory

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    Pages 189-209

    Degree of rational approximation in digital filter realization

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    Pages 210-226

    Applications of schur fractions to digital filtering and signal processing

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    Pages 227-242

    A de montessus theorem for vector valued rational interpolants

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    Pages 243-248

    On the convergence of limit periodic continued fractions K(an/1), where a1 → −1/4

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