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

2017

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DOI 10.4208/ata.2017.v33.n3.7
Data confidence 70 medium
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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.