Several inequalities for L_2-projection body |
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| Authors: | ZHU Xian-yang LENG Gang-song |
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| Institution: | 1. Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China;Department of Mathematics, College of Sciences, Jinggangshan University, Ji'an 343009, Jiangxi, P. R. China
2. Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | In this paper, by using the Lp-Brunn-Minkowski theory and its dual theory, L2-version on the conjectured projection inequality is investigated, the (reverse) inclusive relationship between L2-projection body and the classical projection body are established, and a constrained minimization problem is solved. |
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| Keywords: | convex body L2-projection body the classical projection body |
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