Some inequalities for asymmetric Lp-mean zonoids1

被引：3
|
作者：
Li, Tian [1 ]
Wang, Weidong [1 ,2 ]
机构：
[1] China Three Gorges Univ, Dept Math, Yichang, Peoples R China
[2] China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang, Peoples R China
来源：
QUAESTIONES MATHEMATICAE | 2019年 / 42卷 / 05期
关键词：
Asymmetric L-p-mean zonoid; affine inequality; extremal value; quermassintegrals; dual quermassintegrals; BUSEMANN-PETTY PROBLEMS; MINKOWSKI-FIREY THEORY; AFFINE INEQUALITIES; VOLUME INEQUALITIES;
D O I：
10.2989/16073606.2018.1479318
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based on the notion of L-p-mean zonoids which is introduced by Xi, Guo and Leng, we define the notion of asymmetric L-p-mean zonoids and establish its an affine inequality. Further, we give the extremal values for volume, quermassintegrals of this notion and dual quermassintegrals of polar of this notion. Finally, associated with p-radial mean bodies, two monotonic inequalities for the asymmetric L-p-mean zonoids are obtained.
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页码：631 / 649
页数：19
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