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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 chjzhao@yahoo.com.cn Wing-Sum Cheung Dept. of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong wscheung@hku.hk 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 [ Fulltext-pdf (99 KB)] for subscribers only. |