On the asymptotics of the Alexandrov's n-width compact infinitely smooth periodic functions of the Gevrey's class

Belykh Vladimir Nikitych

0000 0002 4428 3087

Scopus Author ID: 700 404 6309

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

belykh@math.nsc.ru

The asymptotics of the Alexandrov's $n$-width of a compact of the $C^\infty$-smooth periodic functions of the Gevrey's class finitely embedded in the space of the $C$ continuous functions on a unit circle of the $S$ functions has been obtained.

UDK 519.6+515.127

Keywords: compact set, Gevrey's class, topological dimension, Alexandrov's $n$-width, amount of smoothness, unsaturation.