The best uniform polynomial approximation to class of the form \(\frac{1}{(a^2\pm x^2)}\)

DOI10.1016/j.na.2008.10.131zbMath1171.41310OpenAlexW173305967MaRDI QIDQ1026027

M. R. Eslahchi, Mehdi Dehghan

Publication date: 24 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.131

zbMATH Keywords

Chebyshev polynomialsbest uniform polynomial approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Uniqueness of best approximation (41A52)

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Cites Work

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• Some remarks on multivariate Chebyshev polynomials
• Best uniform polynomial approximation to certain rational functions
• 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