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

TitleApproximation of helder functions by its Fourier coefficients for a harmonically modulated argument
AuthorsN. D. Kuzmichev1
1National Research Mordovian State University
AnnotationThe 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.
KeywordsHelder class, harmonically modulated argument, dependences of Fourier coefficients, approximation of function.
CitationKuzmichev 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: 13.12.2024.