Sharp Estimates for the Convergence Rate of Fourier Series in Two Variables and Their Applications

F. V. Abilova; E. V. Selimkhanov

doi:10.1134/S0965542518100020

Sharp Estimates for the Convergence Rate of Fourier Series in Two Variables and Their Applications

Authors: Abilova F.V.¹, Selimkhanov E.V.²
Affiliations:
1. Dagestan State Technical University
2. Dagestan State University
Issue: Vol 58, No 10 (2018)
Pages: 1545-1551
Section: Article
URL: https://journals.rcsi.science/0965-5425/article/view/179867
DOI: https://doi.org/10.1134/S0965542518100020
ID: 179867

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Abstract
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Abstract

Sharp estimates for the convergence rate of Fourier series with respect to the trigonometric system for functions of two variables characterized by a generalized modulus of continuity are given.

Keywords

Fourier series, generalized modulus of continuity, spherical, rhombic, and hyperbolic sums, N-width, cubature formula.

About the authors

F. V. Abilova

Dagestan State Technical University

Author for correspondence.
Email: abilowa.farida@yandex.ru
Russian Federation, Makhachkala, Dagestan, 367015

E. V. Selimkhanov

Dagestan State University

Email: abilowa.farida@yandex.ru
Russian Federation, Makhachkala, Dagestan, 367025

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