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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 5, Pages 41–47
DOI: https://doi.org/10.26907/0021-3446-2023-5-41-47 (Mi ivm9877) 		 
Determination of the jump of a function of $m$-harmonic bounded variation by its Fourier series

A. A. Kelzon

Admiral Makarov State University of Maritime and Inland Shipping, 5/7 Dvinskaya str., Saint-Petersbourg, 198035 Russia
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DOI: https://doi.org/10.26907/0021-3446-2023-5-41-47
Abstract: In this paper, the known formula for determining the jump of a periodic function using the derivative of the partial sums of its Fourier series extends to a new class of functions.
Keywords: jump of a function, harmonic variation, Fourier series.
Received: 31.08.2022
Revised: 19.09.2022
Accepted: 28.09.2022
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2023, Volume 67, Issue 5, Pages 35–40
DOI: https://doi.org/10.3103/S1066369X23050043
Document Type: Article
UDC: 517.51
Language: Russian
Citation: A. A. Kelzon, “Determination of the jump of a function of $m$-harmonic bounded variation by its Fourier series”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 5, 41–47; Russian Math. (Iz. VUZ), 67:5 (2023), 35–40
Citation in format AMSBIB
\Bibitem{Kel23}
\by A.~A.~Kelzon
\paper Determination of the jump of a function of $m$-harmonic bounded variation by its Fourier series
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 5
\pages 41--47
\mathnet{http://mi.mathnet.ru/ivm9877}
\crossref{https://doi.org/10.26907/0021-3446-2023-5-41-47}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2023
\vol 67
\issue 5
\pages 35--40
\crossref{https://doi.org/10.3103/S1066369X23050043}
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