The functional inequality for the mixed quermassintegral

被引：0
|
作者：
Chen, Fangwei [1 ]
Fang, Jianbo [1 ]
Luo, Miao [2 ]
Yang, Congli [2 ]
机构：
[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang, Guizhou, Peoples R China
[2] Guizhou Normal Univ, Sch Math Sci, Guiyang, Guizhou, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期
关键词：
Log-concave function; Quermassintegral; Mixed Quermassintegral inequality; Minkowski inequality; LOG-CONCAVE FUNCTIONS; ROGERS-SHEPHARD; DIVERGENCE; STABILITY;
D O I：
10.1186/s13660-020-02521-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the functional Quermassintegrals of a log-concave function in 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 R-n is obtained.
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页数：17
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