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On Arithmetic Means of Sequences Generated by a Periodic Function |
Canad. Math. Bull. 42(1999), 184-189
Published:1999-06-01
Printed: Jun 1999
Printed: Jun 1999
- Giovanni Fiorito
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 |