Davit Baramidze, Zura Dvalashvili, Giorgi Tutberidze
Published 2021-07-01Version 1
In this paper we derive converge of N\"orlund means of Vilenkin-Fourier series with monotone coefficients of integrable functions in Lebesgue and Vilinkin-Lebesgue points. Moreover, we discuss pointwise and norm convergence in $L_p$ norms of such N\"orlund means.
Comments: arXiv admin note: substantial text overlap with arXiv:2107.02011
a.e. Convergence of $T$ means with respect to Vilenkin systems of integrable functions
On the almost everywhere and norm convergences of $T$ means with respect to Vilenkin systems
Algebraic structure of continuous, unbounded and integrable functions
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