On estimates of the order of the best M-term approximations of functions of several variables in the anisotropic Lorentz - Zygmund space
Об оценках порядка наилучших M-членных приближений функций многих переменных в анизотропном пространстве Лоренца - Зигмунда
Akishev G.
2023Saratov State University
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
2023#23Issue 2142 - 156 pp.
The article considers the anisotropic Lorentz-Karamata space of periodic functions of several variables and the Nikolskii - Besov class in this space. The order-sharp estimates are established for the best M-term trigonometric approximations of functions from the NikolskiiBesov class in the norm of another Lorentz - Zygmund space.
Lorentz - Zygmund space , M-term approximation , Nikolskii - Besov class
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