Approximation of helder functions by its Fourier coefficients for a harmonically modulated argument

Title	Approximation of helder functions by its Fourier coefficients for a harmonically modulated argument
Authors	N. D. Kuzmichev¹ ¹National Research Mordovian State University
Annotation	The paper provides a proof of the theorem according to which any function belonging to the Helder class Calpha (G) can be approximated with any predetermined accuracy by a finite sum of its Fourier coefficients for a harmonically modulated argument.
Keywords	Helder class, harmonically modulated argument, dependences of Fourier coefficients, approximation of function.
Citation	Kuzmichev N. D. ''Approximation of helder functions by its Fourier coefficients for a harmonically modulated argument'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 26-28, 2024). Saransk: SVMO Publ, 2024. - pp. 94-98. Available at: https://conf.svmo.ru/files/2024/papers/paper15.pdf. - Date of access: 16.10.2024.