3 papers
math.CA2023
Lebesgue's test for general Dirichlet's integrals
N. Areshidze
It is well-known the Lebesgue \cite{Lebesgue, Zygmund} test for trigonometric Fourier series. Taberski \cite{Taberski1, Taberski2} considered real-valued Lebesgue locally integrabl…
math.CA2023
Approximation by Nörlund means with respect to Walsh system in Lebesgue spaces
N. Areshidze, G. Tephnadze
In this paper we improve and complement a result by Móricz and Siddiqi \cite{Mor}. In particular, we prove that their inequality of the Nörlund means with respect to the Walsh syst…
math.CA2023
Weighted maximal operators of Fejér means of Walsh-Fourier series in the martingale Hardy space
Nika Areshidze, Davit Baramidze, Lars-Erik Persson +1
In this paper we derive the restricted weighted maximal operator, defined by of Fejér means of Walsh-Four…