On a generalised Blaschke-Santalò inequality

Abstract

In this paper, we establish a generalised Blaschke-Santalò inequality for convex bodies in ${\mathbb{R}}^{n+1}$. This inequality gives an upper bound estimate for the product of dual quermassintegrals of convex body and its polar set. Our argument is based on induction on dimensions.

References in corpus (4)

• The Logarithmic Minkowski Problem
• Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems
• The dual Minkowski problem for negative indices
• The $L_p$ dual Minkowski problem for $p>1$ and $q>0$