Orlicz dual of log-Aleksandrov–Fenchel inequality

Year 2023, Volume: 52 Issue: 2, 317 - 325, 31.03.2023

Zhao Changjıan

https://doi.org/10.15672/hujms.1038461

https://izlik.org/JA38LW84AX

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

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