The Absolute Ε-Entropy of a Compact Set of Infinitely Differentiable Aperiodic Functions
- Authors: Belykh V.N.1
-
Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 59, No 6 (2018)
- Pages: 947-959
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172085
- DOI: https://doi.org/10.1134/S0037446618060010
- ID: 172085
Cite item
Abstract
We calculate asymptotics for the Kolmogorov ε-entropy of the compact set of infinitely differentiable aperiodic functions embedded continuously into the space of continuous functions on a closed finite interval.
About the authors
V. N. Belykh
Sobolev Institute of Mathematics
Author for correspondence.
Email: belykh@math.nsc.ru
Russian Federation, Novosibirsk