On M-term approximations of the Nikol’skii - Besov class

Year 2016, Volume: 45 Issue: 2, 297 - 310, 01.04.2016

G. Akishev

Abstract

In this paper, we consider a Lebesgue space with a mixed norm of
periodic functions of many variables. We obtain the exact estimation
of the best M-term approximations of Nikol’skii’s and Besov’s classes
in the Lebesgue space with the mixed norm.

Keywords

Lebesgue space , Nikol’skii - Besov class , approximation

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