Geodesic
On Arithmetic Means of Sequences Generated by a Periodic Function
Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 184-189

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DOI

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.
DOI : 10.4153/CMB-1999-022-7
Mots-clés : 40A05 
Fiorito, Giovanni. On Arithmetic Means of Sequences Generated by a Periodic Function. Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 184-189. doi: 10.4153/CMB-1999-022-7
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     author = {Fiorito, Giovanni},
     title = {On {Arithmetic} {Means} of {Sequences} {Generated} by a {Periodic} {Function}},
     journal = {Canadian mathematical bulletin},
     pages = {184--189},
     year = {1999},
     volume = {42},
     number = {2},
     doi = {10.4153/CMB-1999-022-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-022-7/}
}
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