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Mat. Zametki, 2024 Volume 116, Issue 2, Pages 290–305 (Mi mzm14188)

Estimate of the convergence rate in the Riemann localization principle for trigonometric Fourier series of continuous functions

T. Yu. Semenovaab

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

Abstract: An estimate of the convergence rate is obtained in the Riemann localization principle for trigonometric series.

Keywords: Fourier series, Riemann localization principle.

UDC: 517.5

Received: 03.02.2024
Revised: 09.03.2024

DOI: 10.4213/mzm14188


 English version:
Mathematical Notes, 2024, 116:2, 328–341

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© Steklov Math. Inst. of RAS, 2025