凸体的包含测度(Ⅰ)

1 Introduction In [1] ,Zhang established certain geometric inequa-lities by considering the inclusion measure of a convexfigure containedin a convex body.Theyrelated thein-clusion measure to the mixed volumes of convex bo-dies ,and gave sharp lower and up…     

凸体的包含测度(Ⅱ)

In this paper,several inequalities for inclusion measures of convex bodies were obtained.The inclusion measure was proved to have concavity by considering the property of relative inner parallel body.     

凸体的包含测度(II)

In this paper, several inequalities for inclusion measures of convex bodies were obtained. The inclusion measure was proved to have concavity by considering the property of relative inner parallel body.     

新几何体Γ_(-p)K和它的极体的几个不等式

对于p>0,Lutwak定义了凸体K的新几何体Γ_(-p)K的概念,本文建立了新几何体Γ_(-p)K和它的极体的几个不等式     

用积分算子定义的解析函数类

用积分算子Pλ^σf（z）刻划了星象函数，凸象函数，近于凸函数，拟凸函数的新子类，建立了包含关系。     

E凸集及其性质

通过引入E凸集的概念,进一步探讨了E凸集的性质;定义了E凸组合,E凸包和E锥,利用E凸集的概念和性质对它们进行了探讨,获得了一些较好的结果,并证明了E凸集及E凸锥的充分必要条件.     

R~3上相交线偶与凸体相交的几何概率问题

利用在平面中建立的凸体的双弦幂积分理论,研究了空间中凸体的双弦幂积分的一些性质,并在此基础上,讨论了空间上相交线偶与凸体相交这一几何概率问题。     

R^3上相交线偶与凸体相交的几何概率问题

利用在平面中建立的凸体的双弦幂积分理论,研究了空间中凸体的双弦幂积分的一些性质,并在此基础上,讨论了空间上相交线偶与凸体相交这一几何概率问题。     

赋值函数与Crofton 公式

主要运用Rn中凸体上的赋值函数理论研究了Rn中凸体K的内蕴体积和K与Rn中k维平面的交的内蕴体积之间的关系,推广了经典的Crofton 公式.     

Firey linear combinations of convex bodies

For convex bodies, the Firey linear combinations were introduced and studied in several papers. In this paper the mean width of the Firey linear combinations of convex bodies is studied, and the lower bound of the mean width of the Firey linear combinations of convex body and its polar body is given.