Orlicz dual of log-Aleksandrov–Fenchel inequality

Authors : Zhao CHANGJIAN

Pages : 317-325

Doi:10.15672/hujms.1038461

View : 15 | Download : 6

Publication Date : 2023-03-31

Article Type : Research Paper

Abstract :In this paper, we establish an Orlicz dual of the log-Aleksandrov–Fenchel inequality, by introducing two new concepts of dual mixed volume measures, and using the newly established Orlicz dual Aleksandrov–Fenchel inequality. The Orlicz dual log-Aleksandrov– Fenchel inequality in special cases yields the classical dual Aleksandrov–Fenchel inequality and some dual logarithmic Minkowski type inequalities, respectively. Moreover, the dual log-Aleksandrov–Fenchel inequality is therefore also derived.
Keywords : dual mixed volume, Lp dual mixed volume, Orlicz multiple dual mixed volume, dual logarithmic Minkowski inequality, dual AleksandrovFenchel inequality