Generalized Fourier–Cesàro sums for functions of bounded variation

Authors

  • 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

DOI:

https://doi.org/10.3842/umzh.v78i7-8.9515

Keywords:

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

Abstract

UDC 517.518, 517.521

We investigate the Fourier–Cesàro sums with respect to general orthonormal systems, when a function $f$ belongs to a certain differentiable class of functions.

References

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

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Published

24.07.2026

Issue

Vol. 78 No. 7-8 (2026)

Section

Research articles