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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 1, Pages 102–110 (Mi timm207)  
This article is cited in 6 scientific papers (total in 6 papers)

Jackson inequality in $L_2(\mathbb T^N)$ with generalized modulus of continuity

S. N. Vasil'ev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (169 kB) Citations (6)
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Abstract: The sharp Jackson inequality is proved for the space of periodic functions of many variables with mean-square norm for an arbitrary modulus of continuity generated by a difference operator with constant coefficients.
Keywords: Jackson inequality, generalized modulus of continuity, multidimensional approximation.
Received: 11.10.2008
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2009, Volume 265, Issue 1, Pages S218–S226
DOI: https://doi.org/10.1134/S0081543809060170
Bibliographic databases:
Document Type: Article
UDC: 517.1
Language: Russian
Citation: S. N. Vasil'ev, “Jackson inequality in $L_2(\mathbb T^N)$ with generalized modulus of continuity”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 1, 2009, 102–110; Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S218–S226
Citation in format AMSBIB
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\by S.~N.~Vasil'ev
\paper Jackson inequality in $L_2(\mathbb T^N)$ with generalized modulus of continuity
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 1
\pages 102--110
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\elib{https://elibrary.ru/item.asp?id=11929780}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2009
\vol 265
\issue , suppl. 1
\pages S218--S226
\crossref{https://doi.org/10.1134/S0081543809060170}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000268192700017}
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  • https://www.mathnet.ru/eng/timm/v15/i1/p102
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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