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

math.CA

/ Authors

/ Abstract

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

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

math.CA

/ Authors

A. S. Romanyuk, S. Ya. Yanchenko

/ Abstract

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