Parametric approximation of piecewise analytic functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1990 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 48, pages 1,010-1,017 (issn: 0001-4346, eissn: 1573-8876,

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Authors: Konyagin, S. V.;

doi: 10.1007/bf01139601

Parametric approximation of piecewise analytic functions

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Abstract

The paper concerns error estimation for parametric approximation of piecewise analytic functions. The author proves for the best parametric approximation of order n the estimate \(\epsilon_ n(f)=O(e^{-c.n/\ln n})\) where c is a constant. This result is an improvement on the result of \textit{G. L. Iliev} [PLISKA, Stud. Math. Bulg. 1, 93-99 (1977; Zbl 0493.41028)].

Related Organizations

Lomonosov Moscow State University
Russian Federation

Keywords

Approximation by polynomials, approximation by polynomials, error estimation, Rate of convergence, degree of approximation, degree of approximation

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