特殊凸体的p-几何最小表面积

p-geominimal surface area of special convex bodies

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.