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Computer Research and Modeling, 2015, Volume 7, Issue 4, Pages 813–819
DOI: https://doi.org/10.20537/2076-7633-2015-7-4-813-819
(Mi crm261)
 

This article is cited in 5 scientific papers (total in 5 papers)

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Approximation of classes of Poisson integrals by Fejer sums

O. A. Novikova, O. G. Rovenskayab

a Donbass State Pedagogical University, 19 G. Batyuka street, Slovyansk, 84116, Ukraine
b Donbass State Engineering Academy, 72 Shkadinova street, Kramatorsk, 84313, Ukraine
Full-text PDF (90 kB) Citations (5)
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Abstract: We obtain asymptotic formula for upper bounds of deviations of Fejer sums on classes of Poisson integrals. Under certain conditions, formula guarantee the solvability of the Kolmogorov-Nikol’skiy problem for Fejer sums and classes of Poisson integrals.
Keywords: Fourier series, Kolmogorov-Nikol’skiy problem, class of Poisson integrals.
Received: 30.04.2015
Revised: 02.06.2015
Document Type: Article
UDC: 517.5
Language: Russian
Citation: O. A. Novikov, O. G. Rovenskaya, “Approximation of classes of Poisson integrals by Fejer sums”, Computer Research and Modeling, 7:4 (2015), 813–819
Citation in format AMSBIB
\Bibitem{NovRov15}
\by O.~A.~Novikov, O.~G.~Rovenskaya
\paper Approximation of classes of Poisson integrals by Fejer sums
\jour Computer Research and Modeling
\yr 2015
\vol 7
\issue 4
\pages 813--819
\mathnet{http://mi.mathnet.ru/crm261}
\crossref{https://doi.org/10.20537/2076-7633-2015-7-4-813-819}
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  • https://www.mathnet.ru/eng/crm/v7/i4/p813
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Computer Research and Modeling
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    Full-text PDF :62
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