A discrete approach to Zhang's projection inequality

David Alonso-Gutiérrez, Eduardo Lucas, Javier Martín Goñi

In this paper we will provide a new proof of the fact that for any convex body $K\subseteq {\mathbb{R}}^n$ $$ \frac{{{2n}\choose{n}}}{n^n}n\int_0^\infty r^{n-1}\vol_n(K\cap(re_n+K))dr\leq\fra…