Open Access Research

Polar duals of convex and star bodies

Chang-Jian Zhao1*, Lian-Ying Chen1 and Wing-Sum Cheung2

Author Affiliations

1 Department of Mathematics, China Jiliang University, Hangzhou 310018, China

2 Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong

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Journal of Inequalities and Applications 2012, 2012:90 doi:10.1186/1029-242X-2012-90

Published: 17 April 2012

Abstract

In this article, some new inequalities about polar duals of convex and star bodies are established. The new inequalities in special case yield some of the recent results.

MR (2000) Subject Classification: 52A30.

Keywords:
polar dual; Lp-mixed volume; dual Lp-mixed volume; the Bourgain and Milman's inequality