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