Approximation of classes of Poisson integrals by Fejer sums

Approximation of classes of Poisson integrals by Fejer sums

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-Nikolskiy problem for Fejer sums and classes of Poisson integrals.

Bibliographic Details
Main Authors: Oleg Aleksandrovich Novikov, Olga G Rovenska
Format: Article
Language:Russian
Published: Institute of Computer Science 2015-08-01
Series:Компьютерные исследования и моделирование
Subjects:
Fourier series
Kolmogorov–Nikol’skiy problem
class of Poisson integrals
Online Access:http://crm.ics.org.ru/uploads/crmissues/crm_2015_4/150702.pdf
Description
Summary: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-Nikolskiy problem for Fejer sums and classes of Poisson integrals.
ISSN:2076-7633
2077-6853

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