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

2021/06/24 by Г. Акишев, Akishev, Gabdolla
Mathematics · #41A10 and 41A25 #42A05 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.2106.12761

openalex publication_date 2021/06/24 · openalex created_date 2021/07/05 · openalex updated_date 2026/07/28

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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