Orlicz log-Aleksandrov-Fenchel inequality

2022/11/08 by Chang-Jian Zhao, Zhao, Chang-Jian
Mathematics · #FOS: Mathematics #General Mathematics (math.GM) #Geometric Analysis and Curvature Flows #Mathematical Inequalities and Applications #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2304.01361

openalex publication_date 2022/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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