  In this paper, we study operator mean inequalities for the weighted
arithmetic, geometric and harmonic means. We give a slight modification of
Audenaert's result to show the relation between Kwong functions and operator
monotone functions. Operator mean inequalities provide some analogs of the
geometric concavity property for Kwong functions, operator convex, and operator
monotone functions. Moreover, we give our points across by way of some examples
which show the usage of our main results.
