Результаты поиска по 'the right-angled de la Vallee Poussin sums':
Найдено статей: 2
  1. class="publication_info"> class="authors3">Novikov O.A., class="authors3">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
    class="abstract">

    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).
  2. class="publication_info"> class="authors3">Rovenska O.G., class="authors3">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
    class="abstract">

    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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