Orlicz log-Aleksandrov-Fenchel inequality
arXiv:2304.01361
Abstract
In this paper, we establish an Orlicz log-Aleksandrov-Fenchel inequality by introducing new concepts of mixed volume measure and Orlicz multiple mixed volume measure, and using the Orlicz-Aleksandrov-Fenchel inequality. The Orlicz log-Aleksandrov-Fenchel inequality in special cases yield the classical Aleksandrov-Fenchel inequality and Orlicz log-Minkowski type inequality, respectively.