Riemann's Localization Theorem. An Estimate for the Rate of Convergence
Contemporary Mathematics. Fundamental Directions, Theory of functions, Tome 25 (2007), pp. 178-181

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An estimate for the Riemann localization principle for trigonometric series is established. At the same time, there is an error in treating this problem in the paper [1] being now corrected.
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     title = {Riemann's {Localization} {Theorem.} {An} {Estimate} for the {Rate} of {Convergence}},
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S. A. Telyakovskii. Riemann's Localization Theorem. An Estimate for the Rate of Convergence. Contemporary Mathematics. Fundamental Directions, Theory of functions, Tome 25 (2007), pp. 178-181. http://geodesic.mathdoc.fr/item/CMFD_2007_25_a13/