<p>Approximation of the periodical functions of high smoothness by the right-angled linear means of Fourier series</p>

Rovenska O.G.; Novikov O.A.

Issue 3, 2012 Vol. 4

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

Rovenska O.G., Novikov O.A.

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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–Nikol’skii problem for the right-angled de la Vallee Poussin sums on the specified classes of functions.

Keywords: (ψ,β)-derivative, the right-angled de la Vallee Poussin sums, Kolmogorov–Nikol'skiy problem

Citation in English: Rovenska O.G., Novikov O.A. Approximation of the periodical functions of high smoothness by the right-angled linear means of Fourier series // Computer Research and Modeling, 2012, vol. 4, no. 3, pp. 521-529

DOI: 10.20537/2076-7633-2012-4-3-521-529

URL: http://crm-en.ics.org.ru/journal/article/1921/

Computer Research and Modeling - 2012 - Issue 3

This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

According to Crossref, this article is cited by:

Olga G Rovenska. Approximation of analytic functions by repeated de la Vallee Poussin sums. // Computer Research and Modeling. — 2019. — V. 11, no. 3. — P. 367. DOI: 10.20537/2076-7633-2019-11-3-367-377
Oleg Aleksandrovich Novikov, Olga G Rovenska. Approximation of classes of Poisson integrals by Fejer sums. // Computer Research and Modeling. — 2015. — V. 7, no. 4. — P. 813. DOI: 10.20537/2076-7633-2015-7-4-813-819

Please note that citation information may be incomplete as it includes data from Crossref cited-by program partners only.

Citations: 2 (RSCI).

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