The dual log-Brunn-Minkowski inequalities. (English) Zbl 1357.52011
Summary: In this article, we establish the dual log-Brunn-Minkowski inequality and the dual log-Minkowski inequality. Moreover, the equivalence between the dual log-Brunn-Minkowski inequality and the dual log-Minkowski inequality is demonstrated.
MSC:
| 52A40 | Inequalities and extremum problems involving convexity in convex geometry |
| 53A15 | Affine differential geometry |
