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arXiv:2107.02011 [math.CA]AbstractReferencesReviewsResources

a.e. Convergence of $T$ means with respect to Vilenkin systems of integrable functions

Davit Baramidze, Nato Gogolashvili, Nato Nadirashvili

Published 2021-07-01Version 1

In this paper we derive converge of $T$ 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 $T$ means.

Comments: arXiv admin note: text overlap with arXiv:2106.11836. substantial text overlap with arXiv:2101.09196 by other authors
Categories: math.CA
Subjects: 42C10
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