On Mixed Quermassintegrals for log-concave Functions

Abstract

In this paper, the functional Quermassintegrals of log-concave functions in ${\mathbb{R}}^n$ are discussed, we obtain the integral expression of the $i$-th functional mixed Quermassintegrals, which are similar to the integral expression of the $i$-th Quermassintegrals of convex bodies.