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

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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Veröffentlicht in:分析理论与应用:英文刊 2017, Vol.33 (3), p.267-286
1. Verfasser: G. Akishev
Format: Artikel
Sprache:chi
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Zusammenfassung: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.
ISSN:1672-4070
1573-8175