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On Arithmetic Means of Sequences Generated by a Periodic Function
Published online by Cambridge University Press: 20 November 2018
Abstract
In this paper we prove the convergence of arithmetic means of sequences generated by a periodic function $\varphi (X)$, moreover if $\varphi (X)$ satisfies a suitable symmetry condition, we prove that their limit is $\varphi (0)$. Applications of previous results are given to study other means of sequences and the behaviour of a class of recursive series.
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- Copyright © Canadian Mathematical Society 1999