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math.GM2025★ 8 cited
Maximal operators of means with respect to the Vilenkin system
G. Tutberidze
In this paper we prove and discuss some new type inequalities of maximal operators of means with respect to Vilenkin systems with monotone coe…
math.GM2025
The properties of general Fourier partial sums of functions
Giorgi Tutberidze, Vakhtang Tsagareishvili, Giorgi Cagareishvili
In this paper, we investigate the convergence properties of Fourier partial sums associated with general orthonormal systems, focusing on functions that belong to specific differen…