- Hacettepe Journal of Mathematics and Statistics
- Vol: 52 Issue: 2
- Orlicz dual of log-Aleksandrov–Fenchel inequality
Orlicz dual of log-Aleksandrov–Fenchel inequality
Authors : Zhao Changjian
Pages : 317-325
Doi:10.15672/hujms.1038461
View : 9 | Download : 3
Publication Date : 2023-03-31
Article Type : Research
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 Aleksandrov–Fenchel inequality