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On Arithmetic Means of Sequences Generated by a Periodic Function

Published online by Cambridge University Press:  20 November 2018

Giovanni Fiorito
Giovanni Fiorito*
Affiliation:
Dipartimento di Matematica Università di Catania viale Andrea Doria 6 Catania I-95125 Italy, email: Fiorito@dipmat.unict.it
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Abstract

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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.

Keywords

40A05

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 42 , Issue 2 , 01 June 1999 , pp. 184 - 189
Copyright
Copyright © Canadian Mathematical Society 1999

References

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