Approximation of the periodical functions of hight smoothness by the right-angled
linear methods

Novikov O.A., Rovenska O.G.
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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 two 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: Novikov O.A., Rovenska O.G. Approximation of the periodical functions of hight smoothness by the right-angled
linear methods // Computer Research and Modeling, 2011, vol. 3, no. 3, pp. 255-264
Citation in English: Novikov O.A., Rovenska O.G. Approximation of the periodical functions of hight smoothness by the right-angled
linear methods // Computer Research and Modeling, 2011, vol. 3, no. 3, pp. 255-264
DOI: 10.20537/2076-7633-2011-3-3-255-264
URL: http://crm-en.ics.org.ru/journal/article/1806/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
According to Crossref, this article is cited by:
  • 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
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