On Kolmogorov’s ε-Entropy for a Compact Set of Infinitely Differentiable Aperiodic Functions (Babenko’s Problem)

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.

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Bibliographic Details
Published in:Doklady. Mathematics 2018-09, Vol.98 (2), p.416-420
Main Author: Belykh, V. N.
Format: Article
Language:English
Subjects:
Aperiodic functions
Continuity (mathematics)
Entropy
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:1064-5624
1531-8362
DOI:10.1134/S1064562418060066