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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 2, Pages 24–30
(Mi ivm9078)
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This article is cited in 1 scientific paper (total in 1 paper)
On a convergence in $L_p$ of the Cesaro means оf Fourier series with monotonic coefficients
L. N. Galoyan Chair of Higher Mathematics, Physical Faculty, Yerevan State University, 1 Al. Manukyan str., Yerevan, 0025 Republic of Armenia
Abstract:
In this paper we study a convergence in $L_p$, $1<p<\infty$, of the Cesaro means of negative order for sine and cosine Fourier series with monotonic coefficients.
Keywords:
Cesaro means, integral modulus of continuity, Fourier series with monotonic coefficients, summability in $L_p$ space.
Received: 18.07.2014
Citation:
L. N. Galoyan, “On a convergence in $L_p$ of the Cesaro means оf Fourier series with monotonic coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 2, 24–30; Russian Math. (Iz. VUZ), 60:2 (2016), 19–24
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https://www.mathnet.ru/eng/ivm9078 https://www.mathnet.ru/eng/ivm/y2016/i2/p24
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Abstract page: | 259 | Full-text PDF : | 59 | References: | 78 | First page: | 45 |
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