Convergence of T means with respect to Vilenkin systems of integrable functions

Permanent lenke
https://hdl.handle.net/10037/28345
DOI
https://doi.org/10.1515/gmj-2022-2148
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Dato
2022-05-06
Type
Journal article
Tidsskriftartikkel
Peer reviewed

Forfatter
Baramidze, Davit; Gogolashvili, Nata; Nadirashvili, Nato
Sammendrag
In this paper, we derive the convergence of T means of Vilenkin–Fourier series with monotone coefficients of integrable functions in Lebesgue and Vilenkin–Lebesgue points. Moreover, we discuss the pointwise and norm convergence in Lp norms of such T means.
Forlag
De Gruyter
Sitering
Baramidze D, Gogolashvili, Nadirashvili. Convergence of T means with respect to Vilenkin systems of integrable functions. Georgian Mathematical Journal. 2022;29(4):481-491
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© 2022 Walter de Gruyter GmbH, Berlin/Boston