O. A. Novikov, O. G. Rovenskaya, “Approximation of classes of Poisson integrals by Fejer sums”, Computer Research and Modeling, 2015, Volume 7, Issue 4,Pages <nobr>813

This article is cited in 5 papers

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Approximation of classes of Poisson integrals by Fejer sums

O. A. Novikov^a, O. G. Rovenskaya^b

^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.

UDC: 517.5

Received: 30.04.2015
Revised: 02.06.2015

DOI: 10.20537/2076-7633-2015-7-4-813-819