On Mixed Quermassintegrals for log-concave Functions
Fangwei Chen, Jianbo Fang, Miao Luo, Congli Yang
Abstract
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Fangwei Chen, Jianbo Fang, Miao Luo, Congli Yang
Abstract
Open-access reader
In this paper, the functional Quermassintegrals of log-concave functions in $\mathbb R^n$ are discussed, we obtain the integral expression of the $i$-th functional mixed Quermassintegrals, which are similar to the integral expression of the $i$-th Quermassintegrals of convex bodies.
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In this paper, the functional Quermassintegrals of log-concave functions in $\mathbb R^n$ are discussed, we obtain the integral expression of the $i$-th functional mixed Quermassintegrals, which are similar to the integral expression of the $i$-th Quermassintegrals of convex bodies.
Key concepts: Concave function, Mathematics, Geometry, Regular polygon