p-平行体类及其p-Steiner点的连续性  

Classes of p-parallel bodies and continuity of p-Steiner point

作　　者：蒋俊华[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2012年第2期143-147,共5页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目(10971128)

摘　　要：结合平行体及L_p-Firey组合的定义,引入了凸体的p-平行体.首先,研究了p-平行体与p-平均宽度之间的关系,然后,证明了p-平行体类在新的度量下的几个性质,并得到了关于p-平行体类的p-Steiner点的连续性结果.Combining the definitions of parallel bodies with Lp-Firey combina- tions, the notion of a p-parallel body of a convex body is introduced. Firstly, the relation between the p-parallel body and the p-mean width is studied. Then, several properties of p-parallel bodies under a new metric are proved, and the continuity of p-Steiner point of p-parallel classes is proposed.

关 键 词：p-平行体 p-平行体类 p-Steiner点 

分 类 号：O186.5[理学—数学]