Orlicz dual of log-Aleksandrov–Fenchel inequality

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Hacettepe Journal of Mathematics and Statistics
Volume:52 Issue:2
Orlicz dual of log-Aleksandrov–Fenchel inequality

Orlicz dual of log-Aleksandrov–Fenchel inequality

Pages : 317-325

View : 24 | Download : 9

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

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