Geodesic
On estimates of the order of the best $M$-term approximations of~functions of several variables in the anisotropic Lorentz -- Zygmund space
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 23 (2023) no. 2, pp. 142-156

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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. 
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     author = {G. Akishev},
     title = {On estimates of the order of the best $M$-term approximations of~functions of several variables in the anisotropic {Lorentz} -- {Zygmund} space},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {142--156},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/ISU_2023_23_2_a0/}
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G. Akishev. On estimates of the order of the best $M$-term approximations of~functions of several variables in the anisotropic Lorentz -- Zygmund space. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 23 (2023) no. 2, pp. 142-156. http://geodesic.mathdoc.fr/item/ISU_2023_23_2_a0/