Email this article Entropy Numbers of the Nikol'skii—Besov-type Classes of Periodic Functions of many Variables
- Authors: Pozharska K.V.1
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Affiliations:
- Institute of Mathematics of the NAS of Ukraine
- Issue: Vol 241, No 1 (2019)
- Pages: 64-76
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242855
- DOI: https://doi.org/10.1007/s10958-019-04407-6
- ID: 242855
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Abstract
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.
About the authors
Kateryna V. Pozharska
Institute of Mathematics of the NAS of Ukraine
Author for correspondence.
Email: kate.shvai@gmail.com
Ukraine, Kiev
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