Brunn-Minkowski inequality for $\theta$-convolution bodies via Ball's bodies

David Alonso-Gutiérrez, Javier Martín Goñi

We consider the problem of finding the best function ${\phi }_n:[0,1]\to \mathbb{R}$ such that for any pair of convex bodies $K,L\in {\mathbb{R}}^n$ the following Brunn-Minkowski type inequa…