Inequalities for general mixed affine surface areas
Inequalities for general mixed affine surface areas
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DOI：
10.1112/jlms/jdr043
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发表时间：
2011-12
期刊：
影响因子：
--
通讯作者：
Deping Ye
中科院分区：
文献类型：
--
作者：
Deping Ye
介绍了几种常见的混合仿射曲面。我们证明了一些重要的性质，如仿射不变性，这些一般的混合仿射曲面面积。我们还建立了新的Alexandrov-Fenchel型不等式，Santaló型不等式和仿射等周不等式，这些一般的混合仿射表面积。
Several general mixed affine surface areas are introduced. We prove some important properties, such as, affine invariance, for these general mixed affine surface areas. We also establish new Alexandrov–Fenchel type inequalities, Santaló‐type inequalities, and affine isoperimetric inequalities for these general mixed affine surface areas.