This article is cited in 4 papers

On the absolute $\varepsilon$-entropy of some compact set of infinitely differentiable periodic functions

V. N. Belykh

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We calculate the principal term of the asymptotics of the Kolmogorov $\varepsilon$-entropy of some compact set of periodic infinitely differentiable functions that is continuously embedded into the space of continuous periodic functions.

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

UDC: 517.518.222

Received: 21.06.2010

 English version: Siberian Mathematical Journal, 2011, 52:3, 381–393

Bibliographic databases:

• 
• 
•