中文摘要：

该文讨论了Orlicz对偶混合均质积分的连续性、唯一性,给出了在一般线性变换下的性质,证明了关于Orlicz对偶混合均质积分的循环不等式,同时证明了关于Orlicz对偶混合均质积分的对偶Orlicz-Minkowski不等式与对偶均质积分关于调和Orlicz组合的对偶Orlicz-Brunn-Minkowski不等式是等价的,还得到了对偶Orlicz-Cauchy-Kubota公式.

英文摘要：

In this paper,we shows the continuity and the uniqueness result of the Orlicz dual mixed quermassintegrls,prove a property of the Orlicz dual mixed quermassintegrls under linear transformation.Further,the circulate inequality for the Orlicz dual mixed quermassintegrls is obtained.The equivalence between the dual Orlicz-Minkowski inequality for dual Orlicz mixed quermassintegrals and the dual Orlicz-Brunn-Minkowski inequality for Orlicz radial combination are demonstrated.We generalize the dual Orlicz-Cauchy-Kubota formula.