Asymptotics of Kolmogorov’s ɛ-entropy for some classes of infinitely differentiable periodic functions (Babenko’s problem)-Reference-Cited by-同舟云学术

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Asymptotics of Kolmogorov’s ɛ-entropy for some classes of infinitely differentiable periodic functions (Babenko’s problem)

Published:2010-04 Issue:2 Volume:81 Page:293-297
ISSN:1064-5624
Container-title:Doklady Mathematics
language:en
Short-container-title:Dokl. Math.

Author:

Belykh V. N.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S1064562410020365.pdf

Reference15 articles.

1. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 108, 385–388 (1956).

2. K. I. Babenko, Basics of Numerical Analysis (RChD, Moscow, 2002) [in Russian].

3. A. G. Vitushkin, Dokl. Akad. Nauk SSSR 117, 745–747 (1957).

4. K. I. Babenko, Nauchn. Dokl. Vyssh. Shkoly, No. 2, 9–16 (1958).

5. V. D. Erokhin, Dokl. Akad. Nauk SSSR 120, 949–952 (1958).

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Absolute Ε-Entropy of a Compact Set of Infinitely Differentiable Aperiodic Functions;Siberian Mathematical Journal;2018-11

2. Estimates of Kolmogorov’s ɛ-entropy for compact sets of infinitely differentiable aperiodic functions (Babenko’s problem);Doklady Mathematics;2013-09

3. An unsaturated numerical method for the exterior axisymmetric Neumann problem for Laplace’s equation;Siberian Mathematical Journal;2011-11

4. On the absolute ɛ-entropy of some compact set of infinitely differentiable periodic functions;Siberian Mathematical Journal;2011-05

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