L_p空间中的对偶混合均质积分商函数

On L_p-dual mixed quermassintegral quotient function

在L_p对偶混合均质积分的基础上,给出了L_p空间中星体的对偶混合均质积分商函数的概念.通过积分方法,结合径向Minkowski线性组合、径向Blaschke线性组合,以及调和径向Blaschke线性组合,得到了L_p对偶混合均质积分商函数的Brunn-Minkowski型不等式.

This paper aims at introducing the concept of Lp-dual mixed quermassintegral quotient function of star bodies based on the Lp-dual mixed quermassintegral. By applying the integral methods and combining with the radial Minkowski linear combination, the radial Blaschke linear combination and the harmonic Blaschke linear combination, some Brunn-Minkowski type inequalities for Lp-dual mixed quermassintegral quotient function are established.