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arXiv · 2304.01361

Orlicz log-Aleksandrov-Fenchel inequality

Chang-Jian Zhao
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Abstract

In this paper, we establish an Orlicz log-Aleksandrov-Fenchel inequality by introducing new concepts of mixed volume measure and Orlicz multiple mixed volume measure, and using the Orlicz-Aleksandrov-Fenchel inequality. The Orlicz log-Aleksandrov-Fenchel inequality in special cases yield the classical Aleksandrov-Fenchel inequality and Orlicz log-Minkowski type inequality, respectively.

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Chang-Jian Zhao. 2022-11-08. Orlicz log-Aleksandrov-Fenchel inequality. https://arxiv.org/abs/2304.01361

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