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arXiv · 2106.12761

On estimates of the order of approximation of functions of several variables in the anisotropic Lorentz-Karamata space

Gabdolla Akishev
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Abstract

In this paper we consider anisotropic Lorentz-Karamata space $2\pi$ 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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Gabdolla Akishev. 2021-06-24. On estimates of the order of approximation of functions of several variables in the anisotropic Lorentz-Karamata space. https://arxiv.org/abs/2106.12761

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