[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2007.44.6.1373

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

Zhao, Chang-Jian (DEPARTMENT OF INFORMATION AND MATHEMATICS SCIENCES COLLEGE OF SCIENCE CHINA JILIANG UNIVERSITY)
Cheung, Wing-Sum (DEPARTMENT OF MATHEMATICS THE UNIVERSITY OF HONG KONG)

Publication Information

Journal of the Korean Mathematical Society / v.44, no.6, 2007 , pp. 1373-1381 More about this Journal

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 $Kneser-S\ddot{u}ss$ inequality.

Keywords

volume difference; convex body; star body; the $Kneser-S\ddot{u}ss$ inequality; the dual $Kneser-S\ddot{u}ss$ inequality; the Brunn-Minkowski inequality;

Citations & Related Records

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