Orlicz差分体的极值不等式

The Extremal Values Inequality of Orlicz Difference Bodies

研究了空间凸体的Orlicz差分体及其极体的极值不等式。利用凸体支持函数的Orlicz加概念定义了凸体的Orlicz差分体及不对称Orlicz差分体,进一步研究了Orlicz差分体的极值性质,得到了Orlicz差分体与不对称Orlicz差分体的仿射不等式。

The extremal values inequality of Orlicz difference bodies of convex body in space was investigated.The Orlicz difference bodies and the asymmetric Orlicz difference bodies of convex bodies were introduced by using the Orlicz addtion of support function of convex body.Moreover,the extremal values inequality of Orlicz difference bodies was studied and some affine inequalities for the Orlicz difference bodies were obtained.