AN EQUIVALENCE FORM OF THE BRUNN-MINKOWSKI INEQUALITY FOR VOLUME DIFFERENCES

Title & Authors
AN EQUIVALENCE FORM OF THE BRUNN-MINKOWSKI INEQUALITY FOR VOLUME DIFFERENCES
Zhao, Chang-Jian; Cheung, Wing-Sum;

Abstract
In this paper, we establish an equivalence form of the Brunn-Minkowski inequality for volume differences. As an application, we obtain a general and strengthened form of the dual $\small{Kneser-S\ddot{u}ss}$ inequality.
Keywords
volume difference;convex body;star body;the $\small{Kneser-S\ddot{u}ss}$ inequality;the dual $\small{Kneser-S\ddot{u}ss}$inequality;the Brunn-Minkowski inequality;
Language
English
Cited by
1.
On volume quotient functions, Indagationes Mathematicae, 2013, 24, 1, 57
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