Approximation of the periodical functions of high smoothness by the right-angled linear means of Fourier series

Approximation of the periodical functions of high smoothness by the right-angled linear means of Fourier series

We obtain asymptotic equalities for upper bounds of the deviations of the right-angled de la Vallee Poussin sums taken over classes of periodical functions of many variables of high smoothness. These equalities guarantee the solvability of the Kolmogorov-Nikolskii problem for the right-angled de la...

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Bibliographic Details
Main Authors:	Olga G Rovenska, Oleg Aleksandrovich Novikov
Format:	Article
Language:	Russian
Published:	Institute of Computer Science 2012-09-01
Series:	Компьютерные исследования и моделирование
Subjects:	(ψ,β)-derivative the right-angled de la Vallee Poussin sums Kolmogorov–Nikol'skiy problem
Online Access:	http://crm.ics.org.ru/uploads/crmissues/crm_2012_3/521-529.pdf

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