Approximation of the periodical functions of hight smoothness by the rightangled linear methods
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-Nikolskii problem for the right-angled de la Vallee Poussin sums on the specified classes of functions.