| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4598969 | Linear Algebra and its Applications | 2015 | 23 Pages |
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))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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mahdi Dehghani, Mohsen Kian, Yuki Seo,