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Matematicheskie Zametki, 2009, Volume 86, Issue 3, Pages 328–336
DOI: https://doi.org/10.4213/mzm3901 (Mi mzm3901) 		 
This article is cited in 31 scientific papers (total in 31 papers)

A Sharp Inequality of Jackson–Stechkin type in $L_2$ and the Widths of Functional Classes

S. B. Vakarchuka, V. I. Zabutnayab

a Dnepropetrovsk University of Economics and Law
b Dnepropetrovsk National University
Full-text PDF (472 kB) Citations (31)
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DOI: https://doi.org/10.4213/mzm3901
Abstract: We obtain sharp inequalities of Jackson–Stechkin type in which the modulus of continuity of the function is defined in terms of the Steklov function. For classes of functions given by this characteristic, we obtain sharp values of the $n$-widths.
Keywords: inequality of Jackson–Stechkin type, modulus of continuity, Fourier series, Steklov function, Bernstein $n$-width, Kolmogorov $n$-width, Gelfand $n$-width.
Received: 18.06.2007
English version:
Mathematical Notes, 2009, Volume 86, Issue 3, Pages 306–313
DOI: https://doi.org/10.1134/S0001434609090028
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: S. B. Vakarchuk, V. I. Zabutnaya, “A Sharp Inequality of Jackson–Stechkin type in $L_2$ and the Widths of Functional Classes”, Mat. Zametki, 86:3 (2009), 328–336; Math. Notes, 86:3 (2009), 306–313
Citation in format AMSBIB
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\pages 328--336
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    • This publication is cited in the following 31 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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