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

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

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 hyperb...

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Veröffentlicht in:arXiv.org 2021-07
1. Verfasser: Akishev, Gabdolla
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Estimates
Mathematical analysis
Periodic functions
Polynomials
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Zusammenfassung: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.
ISSN:2331-8422