This article is cited in 4 papers

Estimates of Alexandrov's $n$-width of the compact set of $C^{\infty}$-smooth functions on a finite segment

V. N. Belykh

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

Abstract: We obtain two-sided estimates for Alexandrov's $n$-width of the compact set of infinitely smooth functions boundedly embedded into the space of continuous functions on a finite segment.

Keywords: compact set, $n$-width, infinitely differentiable function, Gevrey class.

UDC: 519.6+515.127

MSC: 35R30

Received: 06.12.2022
Revised: 05.09.2023
Accepted: 28.11.2023

DOI: 10.33048/smzh.2024.65.101

 English version: Siberian Mathematical Journal, 2024, 65:1, 1–10