Email this article On Kolmogorov’s ε-Entropy for a Compact Set of Infinitely Differentiable Aperiodic Functions (Babenko’s Problem)
- Authors: Belykh V.N.1
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Affiliations:
- Sobolev Institute of Mathematics, Siberian Branch
- Issue: Vol 98, No 2 (2018)
- Pages: 416-420
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225548
- DOI: https://doi.org/10.1134/S1064562418060066
- ID: 225548
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Abstract
The asymptotics of Kolmogorov’s ε-entropy for a compact set of infinitely differentiable aperiodic functions that are boundedly embedded in the space of continuous functions on a finite interval is calculated.
About the authors
V. N. Belykh
Sobolev Institute of Mathematics, Siberian Branch
Author for correspondence.
Email: belykh@math.nsc.ru
Russian Federation, Novosibirsk, 630090
