Generalized Fourier–Cesàro sums for functions of bounded variation

Автор(и)

Vakhtang Tsagareishvili Ivane Javakhishvili Tbilisi State University, Department of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi, Georgia
Giorgi Tutberidze The University of Georgia, Viktor Kupradze Institute of Mathematics, Tbilisi, Georgia; Ivane Javakhishvili Tbilisi State University, Faculty of Exact and Natural Sciences, Tbilisi, Georgia
Giorgi Cagareishvili Ivane Javakhishvili Tbilisi State University, Department of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi, Georgia

General Fourier series, Fourier coefficients, Cesàro summability, functions of bounded variation, orthonormal systems, Banach spaces.

УДК 517.518, 517.521

Узагальнені суми Фур'є–Чезаро для функцій обмеженої варіації

Досліджено суми Фур'є–Чезаро для загальних ортонормованих систем у випадку, коли функція $f$ належить до деякого диференційовного класу функцій.

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 7-8, 2026.