对偶Orlicz混合仿射均质积分的不等式
Inequalities for Dual Orlicz Mixed Affine Quermassintegrals
摘要: 本文将经典Brunn-Minkowski理论中对偶仿射均质积分的概念及相关不等式推广到Orlicz空间，提出了对偶Orlicz混合仿射均质积分的概念，建立了对偶Orlicz混合仿射均质积分的Orlicz-Minkowski不等式和Orlicz-Brunn-Minkowski不等式。
Abstract: This paper generalizes the notion of dual affine quermassintegrals in the classical Brunn-Minkowski theory and its inequalities to Orlicz space. Concept of dual Orlicz mixed affine quermassintegrals is introduced in this paper, and the Orlicz-Minkowski inequality and the Orlicz-Brunn-Minkowski inequality are established for this new dual Orlicz mixed affine quermassintegrals.
文章引用：邓国军, 缑艳. 对偶Orlicz混合仿射均质积分的不等式[J]. 应用数学进展, 2019, 8(12): 2035-2044. https://doi.org/10.12677/AAM.2019.812234

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