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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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/

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[2] Goyal O. P., “On the absolute convergence of a series associated with a Fourier series”, Mat. vesnik, 2(17) (1965), 85–88 | MR | Zbl

[3] Goyal O. P., “On the absolute convergence of Fourier series”, Mat. vesnik, 2(17) (1965), 88–91 | MR | Zbl

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