Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals → CMB
Abstract view

# On Arithmetic Means of Sequences Generated by a Periodic Function

 Read article[PDF: 59KB]
Published:1999-06-01
Printed: Jun 1999
• Giovanni Fiorito
 Format: HTML LaTeX MathJax PDF PostScript

## 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

 top of page | contact us | privacy | site map |

© Canadian Mathematical Society, 2016 : https://cms.math.ca/