Dual Orlicz–Brunn–Minkowski theory: Dual Orlicz Lϕ affine and geominimal surface areas
Dual Orlicz–Brunn–Minkowski theory: Dual Orlicz Lϕ affine and geominimal surface areas
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DOI：
10.1016/j.jmaa.2016.05.027
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发表时间：
2014-05
影响因子：
1.3
通讯作者：
Deping Ye
中科院分区：
文献类型：
--
作者：
Deping Ye
本文旨在发展星体的对偶 Orlicz L ψ 仿射和几何极小表面积的基本理论。建立了这些新的仿射不变量的基本性质。此外，还得到了相关的Orlicz仿射等周、循环、Santaló型和Alexandrov-Fenchel型不等式。
This paper aims to develop the basic theory for the dual Orlicz L ϕ affine and geominimal surface areas of star bodies. Basic properties of these new affine invariants are established. Moreover, related Orlicz affine isoperimetric, cyclic, Santaló type and Alexandrov–Fenchel type inequalities are obtained.