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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 4, Pages 42–47 (Mi timm998)  

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

Widths of some functional classes in the space $L_2$ on a period

S. N. Vasil'evab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg
Full-text PDF (144 kB) Citations (2)
References:
Abstract: In a space of periodic functions with mean-square norm, we find the values of widths for some functional classes given by means of a modulus of continuity generated by an arbitrary difference operator and a weight function.
Keywords: Jackson inequality; generalized modulus of continuity; widths of functional classes.
Received: 11.07.2013
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, Volume 287, Issue 1, Pages 202–207
DOI: https://doi.org/10.1134/S0081543814090193
Bibliographic databases:
Document Type: Article
UDC: 517.1
Language: Russian
Citation: S. N. Vasil'ev, “Widths of some functional classes in the space $L_2$ on a period”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 4, 2013, 42–47; Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 202–207
Citation in format AMSBIB
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\vol 19
\issue 4
\pages 42--47
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\pages 202--207
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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