This article is cited in 3 papers

The absolute $\varepsilon$-entropy of a compact set of infinitely differentiable aperiodic functions

V. N. Belykh

Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: We calculate asymptotics for the Kolmogorov $\varepsilon$-entropy of the compact set of infinitely differentiable aperiodic functions embedded continuously into the space of continuous functions on a closed finite interval.

Keywords: $\varepsilon$-entropy, compact set, infinitely differentiable function, Gevrey class.

UDC: 517.518.222

MSC: 35R30

Received: 03.09.2018

DOI: 10.17377/smzh.2018.59.601

 English version: Siberian Mathematical Journal, 2018, 59:6, 947–959

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