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arXiv · 1612.03215

Orlicz--Lorentz centroid bodies

Van Hoang Nguyen
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Abstract

We extend the definition of the centroid body operator to an Orlicz--Lorentz centroid body operator on the star bodies in $\mathbb R^n$, and establish the sharp affine isoperimetric inequality that bounds (from below) the volume of the Orlicz--Lorentz centroid body of any convex body containing the origin in its interior by the volume of this convex body.

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Van Hoang Nguyen. 2016-12-09. Orlicz--Lorentz centroid bodies. https://arxiv.org/abs/1612.03215

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