本文研究了星体的对偶仿射均质积分问题.利用Hlder不等式Blaschke-Santalo不等式,获得了一般对偶均质积分的Minkowski不等式,Brunn-Minkowski不等式以及定理3.从而不等式推广了文献[7]的结果.
In this article,we investigate the problem of the dual affine quermassintegrals of star bodies.By using the Hlder inequality and the Blaschke-Santalo inequality,we obtain the generalized dual Minkowski inequalities,the generalized dual Brunn-Minkowski inequalities of dual affine quermassintegrals and Theorem 3.These inequalities extend the results of[7].