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Refinement of the Estimate for the Rate of Uniform Convergence of the Fourier Series of a Continuous Periodic Function of Bounded Variation

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Abstract

An estimate for the convergence rate of the Fourier series of a continuous periodic function of bounded variation is refined.

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Funding

This work was supported by the Russian Science Foundation under grant no. 22-11-00129 and carried out at Moscow State University.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, 119991, Russia

    A. Yu. Popov & T. Yu. Semenova

  2. Moscow Center for Fundamental and Applied Mathematics, Moscow, 119991, Russia

    A. Yu. Popov & T. Yu. Semenova

Authors
  1. A. Yu. Popov
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  2. T. Yu. Semenova
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Corresponding author

Correspondence to A. Yu. Popov.

Additional information

Translated from Matematicheskie Zametki, 2023, Vol. 113, pp. 544–559 https://doi.org/10.4213/mzm13743.

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Popov, A.Y., Semenova, T.Y. Refinement of the Estimate for the Rate of Uniform Convergence of the Fourier Series of a Continuous Periodic Function of Bounded Variation. Math Notes 113, 525–537 (2023). https://doi.org/10.1134/S0001434623030240

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  • DOI: https://doi.org/10.1134/S0001434623030240

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