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This article is cited in 2 scientific papers (total in 2 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.
Received: 03.09.2018
Citation:
V. N. Belykh, “The absolute $\varepsilon$-entropy of a compact set of infinitely differentiable aperiodic functions”, Sibirsk. Mat. Zh., 59:6 (2018), 1197–1213; Siberian Math. J., 59:6 (2018), 947–959
Linking options:
https://www.mathnet.ru/eng/smj3039 https://www.mathnet.ru/eng/smj/v59/i6/p1197
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Abstract page: | 268 | Full-text PDF : | 68 | References: | 46 | First page: | 5 |
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