On estimates of the best M-term approximations of functions of many variables in a space with a uniform metric
Об оценках наилучших M-членных приближений функций многих переменных в пространстве с равномерной метрикой
Akishev G.
2025Saratov State University
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
2025#25Issue 2154 - 166 pp.
The paper considers the space of continuous functions with a uniform metric and the anisotropic Lorentz - Zygmund space of periodic functions of many variables and the Nikolskii - Besov class in this space. We have established estimates of the best M-term trigonometric approximations of functions from the Nikolskii - Besov class in a uniform metric.
Lorentz-Zygmund space , M-term approximation , Nikolskii-Besov class , uniform metric
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