Errors in the problem of reconstructing derivatives of a function from its harmonics

Title	Errors in the problem of reconstructing derivatives of a function from its harmonics
Authors	N. D. Kuzmichev¹ ¹RUDN University
Annotation	The paper presents formulas that can be used to estimate the error of reconstructing derivatives of an experimentally investigated dependence from its harmonics. A preliminary analysis of the problems correctness is given. Examples of dependency recovery are considered.
Keywords	recovery of dependence derivatives, Fourier coefficients (harmonics), correctness of derivative recovery.
Citation	Kuzmichev N. D. ''Errors in the problem of reconstructing derivatives of a function from its harmonics'' [Electronic resource]. Proceedings of the XVII International scientific conference "Differential equations and their applications in mathematical modeling". Saransk: SVMO Publ, 2025. - pp. 135-139. Available at: https://conf.svmo.ru/files/2025/papers/paper27.pdf. - Date of access: 18.10.2025.