湖北民族学院学报(自然科学版)2017,Vol.35Issue(2):137-139,3.DOI:10.13501/j.cnki.42-1569/n.2017.06.005
极体p平均宽度最值问题的存在性
Existence of the Minimum/Maximum Problem of the pMean Width of Polar Body
摘要
Abstract
The study of taking the min/max value on the convex body by function has achieved a series of results.Are there any related conclusions on the polar body? In the first part of this paper,we introduce the research on the convex body by predecessors and give the definition of the relevant knowledge points in the convex geometry.The second part of the paper proves that the study of polar body''s p-mean width is significant.If p<0,the p-mean width of polar body takes the minimum value;If 0<p<1,the p-mean width of polar takes the maximum value.关键词
凸体/极体/p平均宽度/存在性Key words
convex body/polar body/p-mean width/existence分类
数理科学引用本文复制引用
徐晓琴..极体p平均宽度最值问题的存在性[J].湖北民族学院学报(自然科学版),2017,35(2):137-139,3.基金项目
重庆市研究生科研创新基金项目(CYS16144) (CYS16144)