A. A. Kelzon, “Determination of the jump of a function of <nobr>$m$</nobr>-harmonic bounded variation by its Fourier series”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, Number 5,Pages <nobr>41

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

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.

UDC: 517.51

Received: 31.08.2022
Revised: 19.09.2022
Accepted: 28.09.2022

DOI: 10.26907/0021-3446-2023-5-41-47