,t_k)=\\Phi\\left(f(t_1C_1+t_2C_2+t_3C_3+\\ldots+t_kC_k)\\right),$$‎

‎as a $k$ variables continuous function on $[0,\\infty) \\times \\ldots \\times [0,\\infty)$‎. ‎In this paper‎, ‎we show that if $f$ is an operator convex function of order $mn$‎, ‎then $\\phi...

We present several matrix and operator inequalities of

Hermite--Hadamard type. We first establish a majorization version

for monotone convex functions on matrices. We then utilize the

Mond--Pecaric method to get an operator...