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On convergence and summability factors in a sequence
Published online by Cambridge University Press: 26 February 2010
Extract
The following theorem is typical of a group of results which have been found to be of importance in the theory of Cesàro summability.
Theorem A. If 0 ≤ ρ ≤ κ (κ, ρ integer), p > −1,p+q −1 and
and ifsn = 0(np) (C, κ), thensn εn = 0(np+q) (C, ρ).
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- Copyright © University College London 1954
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