David Alonso-Gutiérrez

collaborators

2 papers

math.MG2024

Borell's inequality and mean width of random polytopes via discrete inequalities

David Alonso-Gutiérrez, Luis C. García-Lirola

Borell's inequality states the existence of a positive absolute constant $C > 0$ such that for every $1 \leq p \leq q$ $$ \left(\mathbb E|\langle X, e_n\rangle|^p\right)^\frac{1}{p}\le…

math.MG2024

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 $vol (K^{-}) / vol (K)$ , where $K^{-}$ denotes the intersection of a convex body with no…