L. D. da Silva

collaborators

2 papers

math.FA2019

$L_{p}$ functional Busemann-Petty centroid inequality

Julian Haddad, Carlos Hugo Jimenez, Leticia Alves da Silva

If $K \subset R^{n}$ is a convex body and $Γ_{p} K$ is the $p$ -centroid body of $K$ , the $L_{p}$ Busemann-Petty centroid inequality states that $\vol(Γ_pK) \geq \vol(K)$, with equa…

math.FA2019

Some remarks on Petty projection of log-concave functions

Leticia Alves da Silva, Bernardo González Merino, Rafael Villa

In this note we study the Petty projection of a log-concave function, which has been recently introduced in [9]. Moreover, we present some new inequalities involving this new notio…

Lp​ functional Busemann-Petty centroid inequality

Some remarks on Petty projection of log-concave functions

$L_{p}$ functional Busemann-Petty centroid inequality