2023-04-212023-04-212020-01-23Haddad, J.E., Jiménez Gómez, C.H. y da Silva, L.A. (2020). An Lp-Functional Busemann–Petty Centroid Inequality. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021 (10), 7947-7965. https://doi.org/10.1093/imrn/rnz392.1073-79281687-0247https://hdl.handle.net/11441/144746For a convex body K⊂Rn ⁠, let ΓpK be its Lp -centroid body. The Lp -Busemann–Petty centroid inequality states that vol(ΓpK)≥vol(K) ⁠, with equality if and only if K is an ellipsoid centered at the origin. In this work, we prove inequalities for a type of functional Lr -mixed volume for 1≤r<n and establish, as a consequence, a functional version of the Lp -Busemann–Petty centroid inequality.application/pdf18 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1093/imrn/rnz392