Entropy Numbers of the Nikol'skii—Besov-type Classes of Periodic Functions of many Variables

Аннотация

The order estimates of entropy numbers of the Nikol’skii–Besov–type classes of periodic functions of many variables in the Lebesgue space are obtained. For the corresponding choice of a majorant function for the mixed modulus of continuity, those classes coincide with the Nikol’skii–Besov classes.