Existence of the Minimum/Maximum Problem of the pMean Width of Polar Body
XU Xiaoqin
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.
Keywords：convex bodypolar bodyp-mean widthexistence
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：3( 137-139 )