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

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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.

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Authors and Affiliations

  1. Dagestan State Technical University, 367015, Makhachkala, Dagestan, Russia

    F. V. Abilova

  2. Dagestan State University, 367025, Makhachkala, Dagestan, Russia

    E. V. Selimkhanov

Authors
  1. F. V. Abilova
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  2. E. V. Selimkhanov
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Correspondence to F. V. Abilova.

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Translated by N. Berestova

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Abilova, F.V., Selimkhanov, E.V. Sharp Estimates for the Convergence Rate of Fourier Series in Two Variables and Their Applications. Comput. Math. and Math. Phys. 58, 1545–1551 (2018). https://doi.org/10.1134/S0965542518100020

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  • DOI: https://doi.org/10.1134/S0965542518100020

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