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An asymmetric Orlicz centroid inequality for probability measures |
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| Authors: | QingZhong Huang BinWu He |
| Affiliation: | 1. Department of Mathematics, Shanghai University, Shanghai, 200444, China |
| Abstract: | Using M-addition, an asymmetric Orlicz centroid inequality for absolutely continuous probability measures is established corresponding to Paouris and Pivovarov’s recent result on the symmetric case. As an application, we extend Haberl and Schuster’s asymmetric L p centroid inequality from star bodies to compact sets. |
| Keywords: | M-addition Orlicz centroid inequality asymmetric Orlicz centroid bodies asymmetric Lp centroid bodies |
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