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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 4, Pages 93–99 (Mi timm645)  
This article is cited in 9 scientific papers (total in 9 papers)

Jackson inequality in $L_2(\mathbb R^N)$ 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 (160 kB) Citations (9)
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Abstract: The sharp Jackson inequality is proved for the space of entire 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: 15.09.2010
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 273, Issue 1, Pages S163–S170
DOI: https://doi.org/10.1134/S0081543811050178
Bibliographic databases:
Document Type: Article
UDC: 517.1
Language: Russian
Citation: S. N. Vasil'ev, “Jackson inequality in $L_2(\mathbb R^N)$ with generalized modulus of continuity”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 93–99; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S163–S170
Citation in format AMSBIB
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\pages 93--99
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\pages S163--S170
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:45
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