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On the exactness of the conditions of embedding theorems for spaces of functions with mixed logarithmic smoothness
Gabdolla Akishev
The article considers the Lorentz space , of periodic functions of many variables and , $S_{p, τ, θ}^{0, \overl…
On embedding theorems of spaces of functions with mixed logarithmic smoothness
G. Akishev
The article considers the Lorentz space , of periodic functions of many variables and spaces with mixed logarithmic smoothness. Equivalent norms of a…
On estimates of the order of approximation of functions of several variables in the anisotropic Lorentz-Karamata space
Gabdolla Akishev
In this paper we consider anisotropic Lorentz-Karamata space of periodic functions of variables and Nikol'skii--Besov's class . In this paper, we establish order-sharp est…
On -- terms approximations Besov classes in Lorentz spaces
G. Akishev
In this paper we consider 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'ski's,…