Abstract
In this note we prove certain inequalities for mixed discriminants of positive semi-definite matrices, and mixed volumes of compact convex sets in ℝn. Moreover, we discuss how the latter are related to the monotonicity of an information functional on the class of convex bodies, which is a geometric analogue of the classical Fisher information.
Original language | English |
---|---|
Article number | 1350031 |
Journal | Communications in Contemporary Mathematics |
Volume | 16 |
Issue number | 2 |
DOIs | |
State | Published - Apr 2014 |
Externally published | Yes |
Keywords
- Mixed volumes
- convex bodies
- mixed discriminants
- monotonicity of information
- zonoids