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# On Arithmetic Means of Sequences Generated by a Periodic Function

Published:1999-06-01
Printed: Jun 1999
• Giovanni Fiorito
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## 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.
 MSC Classifications: 40A05 - Convergence and divergence of series and sequences