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

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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.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    V. N. Belykh

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  1. V. N. Belykh
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Correspondence to V. N. Belykh.

Additional information

Original Russian Text © V.N. Belykh, 2018, published in Doklady Akademii Nauk, 2018, Vol. 482, No. 2.

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Belykh, V.N. On Kolmogorov’s ε-Entropy for a Compact Set of Infinitely Differentiable Aperiodic Functions (Babenko’s Problem). Dokl. Math. 98, 416–420 (2018). https://doi.org/10.1134/S1064562418060066

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