| Authors | M. Dehghani, M. Kian. Y. Seo |
|---|---|
| Journal | Linear Algebra Appl. |
| Page number | 63-85 |
| Volume number | 484 |
| Paper Type | Original Research |
| Published At | 2015 |
| Journal Grade | ISI (WOS) |
| Journal Type | Electronic |
| Journal Country | United States |
Abstract
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.