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Petty projection inequalities for the general L p -mixed projection bodies |
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| Authors: | Xiaoyan Wan Weidong Wang |
| Institution: | 1. Department of Mathematics, China Three Gorges University, Yichang, 443002, Hubei, China |
| Abstract: | In this paper, the definition of the general L p -mixed projection bodies is introduced, and the general L p -projection bodies given by Ludwig is a special case for the general L p -mixed projection bodies. Then the Petty projection inequality for the general L p -mixed projection bodies is shown. Moreover, the monotonicity for the general L p -mixed projection bodies is obtained. |
| Keywords: | Petty projection inequalities general L p-mixed projection bodies monotonicity the Minkowski inequality the general L p-moment bodies |
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