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arXiv:2103.05919 [math.CA]AbstractReferencesReviewsResources

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

A. S. Romanyuk, S. Ya. Yanchenko

Published 2021-03-10Version 1

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

Comments: 15 pages, in Ukrainian
Categories: math.CA
Subjects: 41A46, 42A10, 42B10
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