The functional inequality for the mixed quermassintegral

[摘要] 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.

[学科分类] 电力

[关键词] Log-concave function;Quermassintegral;Mixed Quermassintegral inequality;Minkowski inequality