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Some log-Minkowski inequalities for $$L_p$$ L p -mixed affine surface area
Positivity ( IF 0.8 ) Pub Date : 2021-01-05 , DOI: 10.1007/s11117-020-00804-3
Chao Li , Guoxin Wei

In this paper, we define the \(L_p\)-mixed affine surface area probability measure and obtain the log-Minkowski inequalities for nonsymmetric convex bodies of \(L_p\)-mixed affine surface area. Besides, we also establish the functional inequalities for \(L_p\)-mixed affine surface area, which are more general form than the log-Minkowski inequalities of \(L_p\)-mixed affine surface area.



中文翻译:

$$ L_p $$ L p-混合仿射表面积的一些log-Minkowski不等式

在本文中,我们定义了\(L_p \)混合仿射表面积的概率度量,并获得了\(L_p \)混合仿射表面积的非对称凸体的log-Minkowski不等式。此外,我们还建立了泛函不等式\(L_P \) -mixed仿射表面积,这比的对数闵可夫斯基不等式更一般的形式\(L_P \) -mixed仿射表面积。

更新日期:2021-01-05
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