On orders of approximation functions of generalized smoothness in Lorentz spaces

2016/06/02 by Г. Акишев, Akishev, G.
Mathematics · #Advanced Harmonic Analysis Research #Mathematical Approximation and Integration #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.1606.00700

Abstract

This paper considers the Lorentz space with mixed norm of periodic functions of many variables and of the generalized Nikol'skii -- Besov classes. Estimates for the order of approximation of the generalized Nikol'skii -- Besov classes by partial sums of Fourier's series for multiple trigonometric system in Lorentz spaces with mixed norm are obtained.

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