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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
On uniformconvergence of transformations of Fourier series on multiplicative systems
N. Yu. Agafonova Saratov State University named after N. G. Chernyshevsky
Abstract:
Necessary and suffiecient conditions for uniform $\Lambda$-summability of Fourier–Vilenkin series of Functions from Orlicz spaces $L_\Phi[0,1)$ and $L^1[0,1)$ are obtained. Some corollaries for matrices with generalized monotone coeffiecients are given.
Key words:
multiplicative systems, Fourier–Vilenkin series, uniform convergence, multipliers, uniform $\Lambda$-summability.
Citation:
N. Yu. Agafonova, “On uniformconvergence of transformations of Fourier series on multiplicative systems”, Izv. Saratov Univ. Math. Mech. Inform., 9:1 (2009), 3–8
Linking options:
https://www.mathnet.ru/eng/isu26 https://www.mathnet.ru/eng/isu/v9/i1/p3
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