On $M$-Term Approximations of the Nikol'skii-Besov Class in the Lorentz Spaces

G. Akishev

doi:10.4208/ata.2017.v33.n3.7

On $M$-Term Approximations of the Nikol'skii-Besov Class in the Lorentz Spaces

Authors

G. Akishev

DOI:

https://doi.org/10.4208/ata.2017.v33.n3.7

Keywords:

Lorentz space, Besov's class, approximation.

Abstract

In this paper, we consider a Lorentz 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 Lorentz space with the mixed norm.

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Published

2017-08-02

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Issue

Vol. 33 No. 3 (2017)

Section

Articles

How to Cite

On $M$-Term Approximations of the Nikol’skii-Besov Class in the Lorentz Spaces. (2017). Analysis in Theory and Applications, 33(3), 267-286. https://doi.org/10.4208/ata.2017.v33.n3.7