n维欧氏空间中的光线障碍问题及其推广

View-Obstruction Problems and a Generalization in E^n

本文引进了函数ｆ的ｎ阶极大极小值概念，并给出了其一些基本性质，同时，利用Ｆｏｕｒｉｅｒ级数理论研究光线障碍问题，对方体和球两种情形得到了新结果．

In this paper, we define the sup-inf value of order n of a function f in [0, 1/2], and also give some basic properties. At. the same time, by using the propositions of Fourier series, we give some new results on view-obstruction problems for cubes and spheres.