Volume inequalities for L0-Minkowski combination of convex bodies

被引：0
作者：
Qixia Liu
Gangsong Leng
机构：
[1] Shanghai University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2013卷 / 1期
关键词：
-Minkowski combination; -Brunn-Minkowski inequality; cone-volume probability measure; normalized ; -mixed volume; Wulff shape;
D O I：
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学科分类号：
摘要：
Recently Böröczky, Lutwak, Yang and Zhang proved the L0-Brunn-Minkowski inequality for two origin-symmetric convex bodies in the plane. This paper extends their results to m (m≥2) origin-symmetric convex bodies in the plane. Moreover, relying on the recent results of Schuster and Weberndorfer, volume inequalities for L0-Minkowski combination of origin-symmetric convex bodies in Rn and its dual form are established in this paper.
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