特殊凸体的p-几何最小表面积  

p-geominimal surface area of special convex bodies

作　　者：杜昌敏[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2012年第4期396-402,共7页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目(10971128)

摘　　要：结合p-投影体和p-几何最小表面积的定义,首先,得到了一类凸体p-几何最小表面积的单调性.然后,给出了另外一类凸体p-几何最小表面积的积分表达式,并由此定义了这类凸体的p-混合几何最小表面积,从而得到了一些不等式.Combined with the definitions of p-projection bodies and p-geominimal surface area, the monotonicity of p-geominimal surface areas for some convex bodies is obtained. Then, the integral representation of p-geominimal surface area for another convex bodies is given. Moreover, the p-mixed geominimal surface area for this class is introduced, and several inequalities are gotten.

关 键 词：p-几何最小表面积 p-混合体积 p-投影体 

分 类 号：O186.5[理学—数学]