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Eurasian Mathematical Journal, 2013, Volume 4, Number 2, Pages 140–143
(Mi emj127)
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This article is cited in 3 scientific papers (total in 3 papers)
Short communications
Hardy–Littlewood type theorems
M. I. Dyachenkoa, E. D. Nursultanovb, A. M. Zhantakbayevac a Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Moscow 119992, Russia
b Kazakh branch of M. V. Lomonosov Moscow State University, 2 Mirzoyan St., 010008 Astana, Kazakhstan
c L. N. Gumilyov Eurasian National University, 2 Mirzoyan St., 010008 Astana, Kazakhstan
Abstract:
In this paper we state new theorems of Hardy–Littlewood type for functions with general monotone Fourier coefficients. Sharpness of stated results is discussed.
Keywords and phrases:
Fourier coefficients, Fourier series, Hardy–Littlewood theorem.
Received: 23.02.2013
Citation:
M. I. Dyachenko, E. D. Nursultanov, A. M. Zhantakbayeva, “Hardy–Littlewood type theorems”, Eurasian Math. J., 4:2 (2013), 140–143
Linking options:
https://www.mathnet.ru/eng/emj127 https://www.mathnet.ru/eng/emj/v4/i2/p140
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