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 |
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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. |
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ISSN: | 1672-4070 1573-8175 |