Abstract

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

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

  • Volume difference
  • star body
  • dual Kneser-Suess inequality
  • dual Brunn-Minkowski inequality

Mathematics Subject Classification

52A40

Suggested citation

C.-J. Zhao, W.-S. Cheung. “An Equivalence of Dual Brunn-Minkowski Inequality for Volume Differences.” Journal of Convex Analysis 20 (2013), No. 2, 475–481.

Copyright Heldermann Verlag 2013