| 娄盈盈,李爱军.非对称 Orlicz 差体[J].数学年刊A辑,2018,39(2):153~162 |
| 非对称 Orlicz 差体 |
| Asymmetric Orlicz Difference Bodies |
| Received:May 24, 2016 Revised:February 07, 2017 |
| DOI：10.16205/j.cnki.cama.2018.0014 |
| 中文关键词: 非对称 Orlicz 差体, Orlicz Brunn-Minkowski 理论, 极值 |
| 英文关键词:Asymmetric Orlicz difference body, Orlicz Brunn-Minkowski theory, Extremal value |
| 基金项目:本文受到河南省联合基金 (No.U1204102)和河南省高校重点项目 (No.17A110022) 的资助. |
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| 中文摘要: |
| 非对称 Orlicz 差体的定义是凸体的 $L_p$
差体的定义的一个延伸. 在本文中, 研究了它们的性质并给出了体积的极值. |
| 英文摘要: |
| The notion of $L_p$-difference body of a convex body is extended to
that of asymmetric Orlicz difference bodies. In this paper, the authors study
their properties and give the extremal values of the volumes. |
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