Результаты поиска по 'Kolmogorov–Nikol’skiy problem':
Найдено статей: 3
  1. Novikov O.A., Rovenska O.G.
    Approximation of classes of Poisson integrals by Fejer sums
    Computer Research and Modeling, 2015, v. 7, no. 4, pp. 813-819

    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–Nikol’skiy problem for Fejer sums and classes of Poisson integrals.

    Keywords: Fourier series, Kolmogorov–Nikol’skiy problem, class of Poisson integrals.
    Views (last year): 4. Citations: 2 (RSCI).
  2. 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, v. 3, no. 3, pp. 255-264

    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.
    Citations: 2 (RSCI).
  3. 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, v. 4, no. 3, pp. 521-529

    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.
    Citations: 2 (RSCI).

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