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- W2000648144 abstract "It is shown that for every α > 1 , we have ∑ k = n + 1 ∞ 1 k α = 1 ( α − 1 ) ( n + θ n ) α − 1 for some strictly decreasing sequence ( θ n ) n ⩾ 1 such that 1 2 < θ n < 1 4 [ 1 + ( 1 + 1 2 n + 1 ) α ] , hence with lim n → ∞ θ n = 1 2 . This is only a particular case of more general new results on series defined by convex functions." @default.
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- W2000648144 date "2005-03-01" @default.
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- W2000648144 title "Integral estimates for convergent positive series" @default.
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- W2000648144 doi "https://doi.org/10.1016/j.jmaa.2004.07.004" @default.
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