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Journal of Convex Analysis 20 (2013), No. 2, 475--481
Copyright Heldermann Verlag 2013

An Equivalence of Dual Brunn-Minkowski Inequality for Volume Differences

Chang-Jian Zhao
Dept. of Mathematics, College of Science, China Jiliang University, Hangzhou 310018, P.R.China

Wing-Sum Cheung
Dept. of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong

We establish an equivalence form of the dual Brunn-Minkowski inequality for volume differences, which was established in Geom. Dedicata 145 (2010) 169-180.

Keywords: Volume difference, star body, dual Kneser-Suess inequality, dual Brunn-Minkowski inequality.

MSC: 52A40

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