Abstract
Ludwig根据Lp混合体积的定义引进了Lp仿射表面积的概念，随后汪和何定义了Lp仿射对偶仿射表面积。近年，马统一引进了i阶Lp仿射表面积，本文介绍了的i阶Lp对偶仿射表面积的定义并且利用Brunn-Minowski-Fiery理论建立了几个不等式。 According to the Lp mixed volume, Ludwig extended the notion of Lp-affine surface area. Recently, Wang and He extended the Lp dual affine surface area. More recently, Ma studied the i-th Lp affine surface area. In this paper, we introduce the concept of i-th Lp dual affine surface area and established some inequalities according to the Brunn-Minowski-Fiery.
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