Rogers and Shephard inequality for the Orlicz difference body

Chen, Fangwei; Xu, Wenxue; Yang, Congli

doi:10.1090/proc12720

Rogers and Shephard inequality for the Orlicz difference body
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by Fangwei Chen, Wenxue Xu and Congli Yang PDF

Proc. Amer. Math. Soc. 143 (2015), 4029-4039 Request permission

Abstract:

The inequalities involving the volume of convex bodies play an important role in convex geometry. In this paper, the Rogers and Shephard inequality for the Orlicz difference body of a convex body in the two-dimensional case is established.

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