Artículo
An Lp-Functional Busemann–Petty Centroid Inequality
Autor/es | Haddad, Julian Eduardo
Jiménez Gómez, Carlos Hugo da Silva, Leticia A. |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2020-01-23 |
Fecha de depósito | 2023-04-21 |
Publicado en |
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Resumen | For 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 ... For 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. |
Cita | Haddad, 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. |