Yu. A. Labych, A. P. Starovoitov, “Approximation of continuous functions by rational Pad–Chebyshev fractions”, PFMT, 2011, no. 1(6), 69

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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2011, Issue 1(6), Pages 69–78 (Mi pfmt88)

MATHEMATICS

Approximation of continuous functions by rational Pad–Chebyshev fractions

Yu. A. Labych, A. P. Starovoitov

F. Skorina Gomel State University, Gomel

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Abstract: The paper is concerned with the description of the asymptotic behaviour of parabolic sequences of the elements of Pade–Chebyshev table for some continuous functions represented by Chebyshev series. The asymptotic form of the best rational approximations for such functions is determined.

Keywords: best approximations in the uniform norm, Pade–Chebyshev approximant, trigonometric Pade approximant, rational approximation, the accurate constants of rational approximation.

Received: 17.02.2011

Document Type: Article

UDC: 517.538.52+517.538.53

Language: Russian

Citation: Yu. A. Labych, A. P. Starovoitov, “Approximation of continuous functions by rational Pad–Chebyshev fractions”, PFMT, 2011, no. 1(6), 69–78

Citation in format AMSBIB

\Bibitem{LabSta11}

\by Yu.~A.~Labych, A.~P.~Starovoitov

\paper Approximation of continuous functions by rational Pad--Chebyshev fractions

\jour PFMT

\yr 2011

\issue 1(6)

\pages 69--78

\mathnet{http://mi.mathnet.ru/pfmt88}

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