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Inequalities of Aleksandrov body

Keywords: Aleksandrov body , p-Aleksandrov body , Brunn-Minkowski inequality , Minkowski inequality

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Abstract:

A new concept of p-Aleksandrov body is firstly introduced. In this paper, p-Brunn-Minkowski inequality and p-Minkowski inequality on the p-Aleksandrov body are established. Furthermore, some pertinent results concerning the Aleksandrov body and the p-Aleksandrov body are presented. 2000 Mathematics Subject Classification: 52A20 52A40

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