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The functional inequality for the mixed quermassintegral
Journal of Inequalities and Applications ( IF 1.5 ) Pub Date : 2020-11-30 , DOI: 10.1186/s13660-020-02521-7
Fangwei Chen , Jianbo Fang , Miao Luo , Congli Yang

In this paper, the functional Quermassintegrals of a log-concave function in $\mathbb{R}^{n}$ are discussed. The functional inequality for the ith mixed Quermassintegral is established. Moreover, as a special case, a weaker log-Quermassintegral inequality in $\mathbb{R}^{n}$ is obtained.

中文翻译:

混合量子积分的泛函不等式

本文讨论了$ \ mathbb {R} ^ {n} $中对数凹函数的函数Quermass积分。建立了第i个混合Quermassintegral的泛函不等式。此外,作为特殊情况,获得了$ \ mathbb {R} ^ {n} $中的弱对数Quermassintegral不等式。
更新日期:2020-12-01
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