Abstract
In this paper, we establish an Orlicz dual of log-Aleksandrov-Fenchel inequality by introducing two new concepts of dual mixed volume measures and using the Orlicz dual Aleksandrov-Fenchel inequality. A new dual logarithmic Aleksandrov-Fenchel inequality is therefore also produced. Moreover, The Orlicz dual of log-Aleksandrov-Fenchel inequality in special cases also yield the classical dual Aleksandrov-Fenchel inequality and some dual logarithmic Minkowski type inequalities, respectively.
Subject
Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis