書誌事項

Approximation with rational functions

by D.J. Newman

(Regional conference series in mathematics, no. 41)

Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1979

タイトル別名

Rational functions

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注記

"Expository lectures from the CBMS regional conference held at the University of Rhode Island, June 12-16, 1978."

Includes bibliographical references

内容説明・目次

内容説明

Includes a series of lectures that treats certain amusing and interesting aspects of rational function approximations, striving for variety and diversity rather than depth or thoroughness. This title is suitable for graduate students and faculty, knowledgeable in the elements of real and complex analysis.

目次

Approximation to $x^k$ Muntz rational functions Quadrature in $H^p$ Quadrature in $H^p$, concluded Rational approximation to $e^x$ Using only real zeros and poles Approximation of Lip 1 Functions Proof of the Lip 1 conjecture $e^x$ using only negative zeros and poles Open problems.

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