Abstract:
In the metric of the space φ(L) generated by a continuous even function φ(x) increasing on [0,∞) such that φ(0)=0, limx→∞φ(x)=∞ one finds estimates of the error of approximation by partial sums of Faber–Schauder series in the function classes C1 and W1Hω, where ω(t) is a concave modulus of continuity.
Bibliography: 21 titles.
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
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\paper Estimates for the error of approximation of classes of differentiable functions by Faber--Schauder partial sums
\jour Sb. Math.
\yr 2006
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\issue 3
\pages 303--314
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https://www.mathnet.ru/eng/sm1541
https://doi.org/10.1070/SM2006v197n03ABEH003759
https://www.mathnet.ru/eng/sm/v197/i3/p3
This publication is cited in the following 2 articles:
Nikolaj Mormul`, Alexander Shchitov, “A study of approximation of functions of bounded variation by Faber-Schauder partial sums”, EEJET, 4:4 (100) (2019), 14
S. B. Vakarchuk, A. N. Shchitov, “Estimates for the error of approximation of functions in L1p by polynomials
and partial sums of series in the Haar and Faber–Schauder systems”, Izv. Math., 79:2 (2015), 257–287
Citation in format AMSBIB
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