Geodesic
Absolute Convergence of Some Series, Connected with the Fourier--Vilenkin Series
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 38-42

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Two theorems of O. P. Goyal concerning absolute convergence of some trigonometric series are extended to the case of Vilenkin systems and $L^p$-modulus of continuity. 
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     title = {Absolute {Convergence} of {Some} {Series,} {Connected} with the {Fourier--Vilenkin} {Series}},
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N. V. Egoshina. Absolute Convergence of Some Series, Connected with the Fourier--Vilenkin Series. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 38-42. http://geodesic.mathdoc.fr/item/ISU_2013_13_1_a8/