Javier Martín Goñi

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20222025

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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…

math.MG2022

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

David Alonso-Gutiérrez, Javier Martín Goñi

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

A general functional version of Grünbaum's inequality

Brunn-Minkowski inequality for θ-convolution bodies via Ball's bodies

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