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Computer Research and Modeling, 2011, Volume 3, Issue 3, Pages 255–264
DOI: https://doi.org/10.20537/2076-7633-2011-3-3-255-264 (Mi crm665) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Approximation of the periodical functions of hight smoothness by the right-angled linear methods

O. A. Novikova, O. G. Rovenskayab

a Slavyansk State Pedagogical University, G. Batyuk st. 19, Slavyansk, 84116, Ukraine
b Donbass State Engineering Academy, Shkadinova st. 72, Kramatorsk, 84313, Ukraine
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DOI: https://doi.org/10.20537/2076-7633-2011-3-3-255-264
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 two 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: 25.05.2011
Document Type: Article
UDC: 517.5
Language: Russian
Citation: O. A. Novikov, O. G. Rovenskaya, “Approximation of the periodical functions of hight smoothness by the right-angled linear methods”, Computer Research and Modeling, 3:3 (2011), 255–264
Citation in format AMSBIB
\Bibitem{NovRov11}
\by O.~A.~Novikov, O.~G.~Rovenskaya
\paper Approximation of the periodical functions of hight smoothness by the right-angled linear methods
\jour Computer Research and Modeling
\yr 2011
\vol 3
\issue 3
\pages 255--264
\mathnet{http://mi.mathnet.ru/crm665}
\crossref{https://doi.org/10.20537/2076-7633-2011-3-3-255-264}
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    		Computer Research and Modeling
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