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

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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

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