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On Arithmetic Means of Sequences Generated by a Periodic Function

 Printed: Jun 1999
  • Giovanni Fiorito
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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 show english descriptions Convergence and divergence of series and sequences 40A05 - Convergence and divergence of series and sequences

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