Cite this article as:
Volosivets S. S. On Convergence of Fourier – Vilenkin Series in L p [0, 1), 0 < p ≤ 1. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2008, vol. 8, iss. 3, pp. 3-9. DOI: https://doi.org/10.18500/1816-9791-2008-8-3-3-9
On Convergence of Fourier – Vilenkin Series in L p [0, 1), 0 < p ≤ 1
In this paper we study convergence a.e. and L p -convergence (0 < p ≤ 1) of Fourier –Vilenkin series under some tauberian conditions on Fourier coefficients of a function. In the case of Fourier – Walsh series these results are obtained by F. Moricz.
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