Approximation of classes of Poisson integrals by Fejer sums

Novikov O.A., Rovenska O.G.
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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
Citation in English: Novikov O.A., Rovenska O.G. Approximation of classes of Poisson integrals by Fejer sums // Computer Research and Modeling, 2015, vol. 7, no. 4, pp. 813-819
Citation in English: Novikov O.A., Rovenska O.G. Approximation of classes of Poisson integrals by Fejer sums // Computer Research and Modeling, 2015, vol. 7, no. 4, pp. 813-819
DOI: 10.20537/2076-7633-2015-7-4-813-819
URL: http://crm-en.ics.org.ru/journal/article/2341/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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