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

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

Year:    2017

Analysis in Theory and Applications, Vol. 33 (2017), Iss. 3 : pp. 267–286

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Analysis in Theory and Applications, Vol. 33 (2017), Iss. 3 : pp. 267–286

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

Keywords:    Lorentz space Besov's class approximation.