Research Repository

Some New Bounds for Mathieu's Series

Hoorfar, Abdolhossein and Qi, Feng (2007) Some New Bounds for Mathieu's Series. Research report collection, 10 (1).

[img] Text
Hoorfar-Qi.pdf

Download (220kB)

Abstract

In the paper, an upper bound and two lower bounds for Mathieu’s series are established, which refine to a certain extent a sharp double inequality obtained by Alzer-Brenner-Ruehr in 1998. Moreover, the very closer lower and upper bounds for ζ(3) are deduced.

Item Type: Article
Uncontrolled Keywords: inequality, Mathieu's series, zeta function, lower bound, upper bound
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 10 Feb 2012 04:49
Last Modified: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17586
ePrint Statistics: View download statistics for this item
Citations in Scopus: 4 - View on Scopus

Repository staff only

View Item View Item

Search Google Scholar