On estimates of the order of approximation of functions of several variables in the anisotropic Lorentz-Karamata space
Abstract
In this paper we consider anisotropic Lorentz-Karamata space 2π of periodic functions of m variables and Nikol'skii--Besov's class . In this paper, we establish order-sharp estimates of the best approximation by trigonometric polynomials with harmonic numbers from the step hyperbolic cross of functions from the Nikol'skii - Besov class in the norm of the anisotropic Lorentz-Karamata space.
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