Developed matrix inequalities via positive multilinear mappings

چکیده مقاله

Utilizing the notion of positive multilinear mappings, we present some matrix inequalities. In particular, the Choi–Davis–Jensen inequality  does not hold in general for a matrix convex function f and a positive multilinear mapping Φ. We prove this inequality under certain condition on f. Moreover, some Kantorovich and convexity type inequalities including positive multilinear mappings are presented.