Several inequalities for L
2-projection body |
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| Authors: | Xian-yang Zhu Gang-song Leng |
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| Institution: | (1) Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, P. R. China;(2) Department of Mathematics, College of Sciences, Jinggangshan University, Ji’an, 343009, Jiangxi, P. R. China |
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| Abstract: | In this paper, by using the L
p
-Brunn-Minkowski theory and its dual theory, L
2-version on the conjectured projection inequality is investigated, the (reverse) inclusive relationship between L
2-projection body and the classical projection body are established, and a constrained minimization problem is solved.
Project supported by the National Natural Sciences Foundation of China (Grant Nos.10671117, 10801140) |
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| Keywords: | convex body L 2-projection body the classical projection body |
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