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The functional inequality for the mixed quermassintegral

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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.

Keywords: inequality mixed; inequality; functional inequality; mixed quermassintegral

Journal Title: Journal of Inequalities and Applications
Year Published: 2020

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