论文标题
双重ORLICZ-ALEKSANDROV-FENCHEL不平等
The dual Orlicz-Aleksandrov-Fenchel inequality
论文作者
论文摘要
通过计算双重混合体积的一阶变化，我们提出了一个新的概念Orlicz多个双重混合体积。经典的双重混合体积和双重aleksandrov-fenchel不平等现象被推广到Orlicz空间。我们建立了双重ORLICZ ALEKSANDROV-FENCHEL不平等，LP多重混合体积和LP双重混合量和双重Aleksandrov Fenchel不平等的概念也首先在这里得出。双重Aleksandrov-Fenchel不平等和LP双重Aleksandrov-Fenchel不平等是双重Orlicz-Aleksandrov-Fenchel不平等的特殊情况。作为一种应用，还建立了新的双重Orlicz-Brunn-Minkowski不平等，以添加Orlicz谐波。
By calculating the first order variation of the dual mixed volumes, we put forward a new concept Orlicz multiple dual mixed volumes. The classical dual mixed volumes and dual Aleksandrov-Fenchel inequality are generalized to the Orlicz space. We establish dual Orlicz Aleksandrov-Fenchel inequality and a new concept of Lp multiple dual mixed volume and Lp dual Aleksandrov Fenchel inequality are first derived here, too. The dual Aleksandrov-Fenchel inequality and the Lp-dual Aleksandrov-Fenchel inequality are all special cases of the dual Orlicz-Aleksandrov-Fenchel inequality. As an application, a new dual Orlicz-Brunn-Minkowski inequality for the Orlicz harmonic addition is also established.
