Best uniform polynomial approximation of some rational functions

DOI10.1016/j.camwa.2009.07.016zbMath1189.41004OpenAlexW2022954561MaRDI QIDQ980359

Mehdi Dehghan, M. R. Eslahchi

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.016

zbMATH Keywords

Chebyshev polynomialsbest polynomial approximationuniform normalternating set

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximate quadratures (41A55)

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Cites Work

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• Some remarks on multivariate Chebyshev polynomials
• The best uniform polynomial approximation to class of the form \(\frac{1}{(a^2\pm x^2)}\)
• Approximation of monomials by lower degree polynomials
• Best approximation and interpolation of \((1+(ax)^2)^{-1}\) and its transforms.
• The best approximation of some rational functions in uniform norm

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