A general functional version of Grünbaum's inequality

David Alonso-Gutiérrez, Francisco Marín Sola, Javier Martín Goñi +1

A classical inequality by Grünbaum provides a sharp lower bound for the ratio $\mathrm{vol}(K^{-})/\mathrm{vol}(K)$, where $K^{-}$ denotes the intersection of a convex body with no…