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Sbornik: Mathematics, 2006, Volume 197, Issue 3, Pages 303–314
DOI: https://doi.org/10.1070/SM2006v197n03ABEH003759
(Mi sm1541)
 

This article is cited in 2 scientific papers (total in 2 papers)

Estimates for the error of approximation of classes of differentiable functions by Faber–Schauder partial sums

S. B. Vakarchuk, A. N. Shchitov

Ukrainian Academy of Customs
References:
Abstract: In the metric of the space $\varphi(L)$ generated by a continuous even function $\varphi(x)$ increasing on $[0,\infty)$ such that $\varphi(0)=0$, $\lim_{x\to\infty}\varphi(x)=\infty$ one finds estimates of the error of approximation by partial sums of Faber–Schauder series in the function classes $C^1$ and $W^1H_\omega$, where $\omega(t)$ is a concave modulus of continuity.
Bibliography: 21 titles.
Received: 29.03.2005
Bibliographic databases:
UDC: 517.5
MSC: 41A25, 41A58
Language: English
Original paper language: Russian
Citation: S. B. Vakarchuk, A. N. Shchitov, “Estimates for the error of approximation of classes of differentiable functions by Faber–Schauder partial sums”, Sb. Math., 197:3 (2006), 303–314
Citation in format AMSBIB
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\by S.~B.~Vakarchuk, A.~N.~Shchitov
\paper Estimates for the error of approximation of classes of differentiable functions by Faber--Schauder partial sums
\jour Sb. Math.
\yr 2006
\vol 197
\issue 3
\pages 303--314
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  • https://doi.org/10.1070/SM2006v197n03ABEH003759
  • https://www.mathnet.ru/eng/sm/v197/i3/p3
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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