![]() ![]() |
Conference publicationsAbstractsXIX conferenceApproximation of Poisson integrals by repeated de la Vallee Poussin summsSlavyansk State Pedagogic University, Ukraine, 84116, Slavyansk, G. Batyuka st., 19. 1Donbass State Engineering Academy, Ukraine, 84313, Kramatorsk, Shkadinova st., 72. We obtain asymptotic equalities for upper bounds of deviations of the repeated de la Vall´ee Poussin sums on classes of Poisson integrals. Under certain conditions, these equalities guarantee the solvability of the Kolmogorov–Nikol’skii problem for the repeated de la Vall´ee Poussin sums and classes of Poisson integrals. Calculated values in the main term of asymptotic equalities for upper bounds of the deviations of the repeated de la Vallee Poussin sums taken over classes of Poisson integrals.
|