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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2023 Volume 113, Issue 4, Pages 544–559 (Mi mzm13743)

This article is cited in 4 papers

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

A. Yu. Popovab, T. Yu. Semenovaab

a Lomonosov Moscow State University
b Moscow Center for Fundamental and Applied Mathematics

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

Keywords: function of bounded variation, convergence rate of the Fourier series.

UDC: 517.5

Received: 27.09.2022

DOI: 10.4213/mzm13743


 English version:
Mathematical Notes, 2023, 113:4, 525–537

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© Steklov Math. Inst. of RAS, 2025