On the approximation properties of Cesàro means of negative order of Vilenkin—Fourier series
2016 ◽
Vol 53
(4)
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pp. 532-544
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In this paper we establish approximation properties of Cesàro (C, −α) means with α ∈ (0, 1) of Vilenkin—Fourier series. This result allows one to obtain a condition which is sufficient for the convergence of the means σn−α(f, x) to f(x) in the Lp-metric.
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2002 ◽
Vol 115
(1)
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pp. 9-20
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2003 ◽
Vol 124
(1)
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pp. 96-108
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2019 ◽
Vol 56
(1)
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pp. 22-44
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2012 ◽
Vol 64
(3)
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pp. 317-331
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1971 ◽
Vol 15
(3)
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pp. 415-441
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2016 ◽
Vol 434
(1)
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pp. 554-567
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