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Computer Research and Modeling, 2012, Volume 4, Issue 3, Pages 521–529
DOI: https://doi.org/10.20537/2076-7633-2012-4-3-521-529 (Mi crm506) 		 
This article is cited in 4 scientific papers (total in 4 papers)

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Approximation of the periodical functions of high smoothness by the right-angled linear means of Fourier series

O. G. Rovenskayaa, O. A. Novikovb

a Donbass State Engineering Academy, 72 Shkadinova st., Kramatorsk, 84313, Ukraine
b Slavyansk State Pedagogical University, 19 G. Batyuk st., Slavyansk, 84116, Ukraine
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DOI: https://doi.org/10.20537/2076-7633-2012-4-3-521-529
Abstract: We obtain asymptotic equalities for upper bounds of the deviations of the right-angled de la Vallee Poussin sums taken over classes of periodical functions of many variables of high smoothness. These equalities guarantee the solvability of the Kolmogorov–Nikol’skii problem for the right-angled de la Vallee Poussin sums on the specified classes of functions.
Keywords: ($\psi,\beta$)-derivative, the right-angled de la Vallee Poussin sums, Kolmogorov–Nikol'skiy problem.
Received: 10.06.2012
Revised: 23.07.2012
Document Type: Article
UDC: 517.5
Language: Russian
Citation: O. G. Rovenskaya, O. A. Novikov, “Approximation of the periodical functions of high smoothness by the right-angled linear means of Fourier series”, Computer Research and Modeling, 4:3 (2012), 521–529
Citation in format AMSBIB
\Bibitem{RovNov12}
\by O.~G.~Rovenskaya, O.~A.~Novikov
\paper Approximation of the periodical functions of high smoothness by the right-angled linear means of Fourier series
\jour Computer Research and Modeling
\yr 2012
\vol 4
\issue 3
\pages 521--529
\mathnet{http://mi.mathnet.ru/crm506}
\crossref{https://doi.org/10.20537/2076-7633-2012-4-3-521-529}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Computer Research and Modeling
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