On volume product inequalities for convex sets

被引：42

作者：

Campi, S

Gronchi, P

机构：

[1] Univ Modena, Dipartimento Matemat Pura & Applicata G Vitali, I-41100 Modena, Italy

[2] CNR, Ist Applicaz Calcolo, Sez Firenze, I-50019 Sesto Fiorentino, FI, Italy

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 08期

关键词：

D O I：

10.1090/S0002-9939-06-08241-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The volume of the polar body of a symmetric convex set K of R-d 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 L-p-Blaschke-Santalo inequality for two-dimensional convex sets.

引用

页码：2393 / 2402

页数：10