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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive
Izv. Saratov Univ. Math. Mech. Inform., 2013 Volume 13, Issue 1(2), Pages 38–42 (Mi isu369)
Mathematics

Absolute Convergence of Some Series, Connected with the Fourier–Vilenkin Series

N. V. Egoshina

Saratov State University

Abstract: 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.

Key words: positive Fourier–Vilenkin coefficients, absolute convergence.

UDC: 517.51

DOI: 10.18500/1816-9791-2013-13-1-2-38-42



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