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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
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
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
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https://www.mathnet.ru/eng/crm261 https://www.mathnet.ru/eng/crm/v7/i4/p813
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Abstract page: | 174 | Full-text PDF : | 62 | References: | 35 |
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