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math.MG2012
Quermassintegrals of quasi-concave functions and generalized Prékopa-Leindler inequalities
Sergey Bobkov, Andrea Colesanti, Ilaria Fragalà
We extend to a functional setting the concept of quermassintegrals, well-known within the Minkowski theory of convex bodies. We work in the class of quasi-concave functions defined…
math.MG2012
A characterization of some mixed volumes via the Brunn-Minkowski inequality
Andrea Colesanti, Daniel Hug, Eugenia Saorin Gomez
We consider a functional on the space of convex bodies in defined as follows: is the integral over the unit sphere of a fixed continuous funct…