Abstract

Utilizing the notion of positive multilinear mappings, we present some matrix inequalities. In particular, the Choi–Davis–Jensen inequality f(Φ(A,B))≤Φ(f(A),f(B)) 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.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call