The volume of the polar body of a symmetric convex set K of Rd is investigated. It is shown that its reciprocal is a convex function of the time t along movements, in which every point of K moves with constant speed parallel to a fixed direction. This result is applied to find reverse forms of the Lp-Blaschke-Santalo' inequality for two-dimensional convex sets.

On volume product inequalities for convex sets / S. CAMPI; P. GRONCHI. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 134:(2006), pp. 2393-2402. [10.1090/S0002-9939-06-08241-4]

On volume product inequalities for convex sets

GRONCHI, PAOLO
2006

Abstract

The volume of the polar body of a symmetric convex set K of Rd is investigated. It is shown that its reciprocal is a convex function of the time t along movements, in which every point of K moves with constant speed parallel to a fixed direction. This result is applied to find reverse forms of the Lp-Blaschke-Santalo' inequality for two-dimensional convex sets.
2006
134
2393
2402
S. CAMPI; P. GRONCHI
File in questo prodotto:
File Dimensione Formato  
Volumeproduct.pdf

Accesso chiuso

Tipologia: Altro
Licenza: DRM non definito
Dimensione 200.35 kB
Formato Adobe PDF
200.35 kB Adobe PDF   Richiedi una copia

I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/211389
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 43
  • ???jsp.display-item.citation.isi??? 40
social impact