22 citations · 22 across the 1 of their papers we have counts for
3 papers
functional Busemann-Petty centroid inequality
Julian Haddad, Carlos Hugo Jimenez, Leticia Alves da Silva
If is a convex body and is the -centroid body of , the Busemann-Petty centroid inequality states that $\vol(Γ_pK) \geq \vol(K)$, with equa…
Asymmetric Blaschke-Santaló functional inequalities
Julian Haddad, C. Hugo Jimenez, Marcos Montenegro
In this work we establish functional asymmetric versions of the celebrated Blaschke-Santaló inequality. As consequences of these inequalities we recover their geometric counterpart…
Rogers-Shephard and local Loomis-Whitney type inequalities
David Alonso-Gutiérrez, Shiri Artstein-Avidan, Bernardo González Merino +2
We provide functional analogues of the classical geometric inequality of Rogers and Shephard on products of volumes of sections and projections. As a consequence we recover (and ob…