On estimates of the order of the best M-term approximations of functions of several variables in the anisotropic Lorentz-Zygmund space

On estimates of the order of the best M-term approximations of functions of several variables in the anisotropic Lorentz-Zygmund space

The article considers the anisotropic Lorentz - Karamata space of periodic functions of several variables and the Nikol'skii - Besov class in this space. The order-sharp estimates are established for the best $M$-term trigonometric approximations of functions from the Nikol'skii-Besov clas...

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Veröffentlicht in:Izvestiâ Saratovskogo universiteta. Novaâ seriâ. Seriâ Matematika. Mehanika. Informatika (Online) 2023-05, Vol.23 (2), p.142-156
1. Verfasser: Akishev, G.
Format: Artikel
Sprache:eng
Schlagworte:
lorentz – zygmund space
m-term approximation
nikol'skii – besov class
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Zusammenfassung:The article considers the anisotropic Lorentz - Karamata space of periodic functions of several variables and the Nikol'skii - Besov class in this space. The order-sharp estimates are established for the best $M$-term trigonometric approximations of functions from the Nikol'skii-Besov class in the norm of another Lorentz - Zygmund space.
ISSN:1816-9791
2541-9005
DOI:10.18500/1816-9791-2023-23-2-142-156