Characterization of weights in best rational weighted approximation of piecewise smooth functions. I

DOI10.1016/0021-9045(88)90018-4zbMath0683.41025OpenAlexW2091331641MaRDI QIDQ1824785

Charles K. Chui, Xian Liang Shi

Publication date: 1988

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(88)90018-4

zbMATH Keywords

weightsuniform approximationcomplex rational weighted \(L^ p\)-approximationrecursive digital filter

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Rate of convergence, degree of approximation (41A25)

Related Items (1)

Characterization of weights in best rational weighted approximations of piecewise smooth functions. II

Cites Work

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• Rational approximation to \(|x|\)
• RATE OF APPROXIMATION OF PIECEWISE-ANALYTIC FUNCTIONS BY RATIONAL FRACTIONS IN THE $ L_p$-METRICS, $ 0 < p\leq\infty$
• THE EXACT ORDER OF THE BEST APPROXIMATION TO CONVEX FUNCTIONS BY RATIONAL FUNCTIONS
• On a general localization theorem and some applications in the theory of rational approximation
• Über die Approximation Reeller Funktionen Durch Rationale Gebrochene Funktionen
• Rational approximation of analytic functions with finite number of singularities on the real axis

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