On the reverse Orlicz Busemann–Petty centroid inequality |
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| Institution: | 1. Department of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang, Guizhou 550004, Peopleʼs Republic of China;2. School of Mathematics and Statistics, Southwest University, Chongqing 400715, Peopleʼs Republic of China;3. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, Guizhou 550001, Peopleʼs Republic of China |
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| Abstract: | In this paper, the Orlicz centroid body, defined by E. Lutwak, D. Yang and G. Zhang, and the extrema of some affine invariant functionals involving the volume of the Orlicz centroid body are investigated. The reverse form of the Orlicz Busemann–Petty centroid inequalities is obtained in the two-dimensional case. |
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