极混合投影体的~Orlicz~对偶~Brunn-Minkowski~不等式

In this paper, the dual Brunn-Minkowski inequality for the polars of the mixed projection bodies is proved by using the quermassintegral Brunn-Minkowski inequality and some classical inequalities. The Orlicz dual Brunn-Minkowski inequality for the polars of the mixed projection bodies is obtained by the $\tilde{W}_{n-j}(varPi^ast_iK)$ variation, the definition of the Borel probability measure $\frac{\rho(\varPi^\ast_iK,u)^{j}}{nQ_{ji}(K)}{d}S(u)$, the scaling and other methods.