Estimates for the entropy numbers of the Nikol'skii-Besov classes of periodic functions of many variables in the space of quasi-continuous functions

Abstract

We obtained exact-order estimates for the entropy numbers of the Nikol'skii-Besov classes $B_{p,\theta }^{\mathbf{r}}$ of periodic functions of many variables in the metric of the space of quasi-continuous functions.

15 pages, in Ukrainian