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Matematicheskie Trudy, 2015, Volume 18, Number 1, Pages 3–14
DOI: https://doi.org/10.17377/mattrudy.2015.18.101 (Mi mt283) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Convergence of cubature formulas of high trigonometric precision in multidimensional periodic Sobolev spaces

V. L. Vaskevichab

a Novosibirsk State University, Novosibirsk, 630090 Russia
b Sobolev Institute of Mathematics, Novosibirsk, 630090 Russia
Full-text PDF (194 kB) Citations (2)
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DOI: https://doi.org/10.17377/mattrudy.2015.18.101
Abstract: We establish convergence in a norm of cubature formulas of high trigonometric precision on multidimensional periodic Sobolev spaces including spaces of fractional smoothness. The main result is obtained under the conventional conditions on smoothness of the space of integrands and distribution of the nodes of the cubature formulas.
Key words: cubature formula, formula of high trigonometric precision, error function, periodic Sobolev space, embedding functions and constants.
Received: 28.10.2014
English version:
Siberian Advances in Mathematics, 2015, Volume 25, Issue 4, Pages 297–304
DOI: https://doi.org/10.3103/S1055134415040069
Bibliographic databases:
Document Type: Article
UDC: 517.518.23+517.518.83+519.651
Language: Russian
Citation: V. L. Vaskevich, “Convergence of cubature formulas of high trigonometric precision in multidimensional periodic Sobolev spaces”, Mat. Tr., 18:1 (2015), 3–14; Siberian Adv. Math., 25:4 (2015), 297–304
Citation in format AMSBIB
\Bibitem{Vas15}
\by V.~L.~Vaskevich
\paper Convergence of cubature formulas of high trigonometric precision in multidimensional periodic Sobolev spaces
\jour Mat. Tr.
\yr 2015
\vol 18
\issue 1
\pages 3--14
\mathnet{http://mi.mathnet.ru/mt283}
\crossref{https://doi.org/10.17377/mattrudy.2015.18.101}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3408633}
\elib{https://elibrary.ru/item.asp?id=23419031}
\transl
\jour Siberian Adv. Math.
\yr 2015
\vol 25
\issue 4
\pages 297--304
\crossref{https://doi.org/10.3103/S1055134415040069}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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