In this paper, we introduce the notion of completely mixed monotonicity of a function of several variables, very few of which have appeared. We give a necessary and sufficient condition for a function ...

Transactions of the American Mathematical Society, Vol. 366, No. 6 (JUNE 2014), pp. 3043-3074 (32 pages) The new notion of operator/matrix k-tone functions is introduced, which is a higher order ...