Estimates of the entropy numbers and ε-entropy of the Nikol’skii-Besov classes of periodic functions of several variables

Abstract

We obtain the order estimates of the entropy numbers and $\varepsilon$-entropy of the Nikol'skii-Besov classes $B_{p,\theta}^r$ of periodic functions of many variables in the space $L_q$ for some values of the parameters $p$ and $q$