2017
Том 69
№ 9

All Issues

Asymptotic Characteristics of Compact Sets and Stepanets Classes

Kotlyar B. D.

Full text (.pdf)


Abstract

We obtain estimates for the ε-entropy and ε-capacity of sets of periodic functions with mean value zero that have a (ψ, β)-derivative belonging to the space L 2(0, 2π).

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 2, pp 229-237.

Citation Example: Kotlyar B. D. Asymptotic Characteristics of Compact Sets and Stepanets Classes // Ukr. Mat. Zh. - 2001. - 53, № 2. - pp. 203-210.

Full text