@article{1190.26030,
author="Tomovski, \v Zivorad and Pog\'any, Tibor K.",
title="{New upper bounds for Mathieu-type series.}",
language="English",
journal="Banach J. Math. Anal. ",
volume="3",
number="2",
pages="9-15",
year="2009",
abstract="{Mathieu's series is defined by $$
    S(r)=\sum_{n=1}^{\infty}\frac{2n}{(n^2+r^2)^2}. $$ The corresponding
    alternating series is $$
    \tilde{S}(r)=\sum_{n=1}^{\infty}(-1)^{n-1}\frac{2n}{(n^2+r^2)^2}. $$ The
    authors obtain upper bounds for the functions $S(r)$ and $\tilde{S}(r)$.}",
reviewer="{Stamatis Koumandos (Nicosia)}",
keywords="{Mathieu series; upper bounds; Hardy-Hilbert integral inequality}",
classmath="{*26D15 (Inequalities for sums, series and integrals of real
    functions)
33E20 (Functions defined by series and integrals)
33E10 (Spheroidal wave functions, etc.)
}",
}