Lp混合投影体及其性质  

Lp Mixed Projection Bodies and Its Properties

作　　者：曹章要 梁俊奇 CAO Zhang-yao;LIANG Jun-qi(Department of Basic Courses,Huanghe Transportation College,Zhengzhou 454950,China;School of Mathematics and Statistics,Shangqiu Normal University,Shangqiu 476000,China)

机构地区：[1]黄河交通学院基础部,河南郑州454950 [2]商丘师范学院数学与统计学院,河南商丘476000

出　　处：《数学的实践与认识》2020年第23期307-311,共5页Mathematics in Practice and Theory

摘　　要：投影体及混合投影体是经典Brunn-Minkowski理论中一核心几何量且Lp投影体对Lp Brunn-Minkowski理论的发展起着重要作用.推广经典的Lutwak混合投影体为Lp混合投影体并利用Lp混合体积理论得到了Lp混合投影体之间的关.系,它们的特殊情形为经典Lp投影体之间的关系.Projection body and mixed projection body is a key point geometric quantity in the Brunn-Minkowski theory,and so as Lp projection body in the Lp Brunn-Minkowski theory.In this paper,we introduce Lp mixed projection bodies which generalize the classical Lutwak’mixed projection bodies and obtain relationships among them by Lp mixed volume,then the classical cases are their special cases.

关 键 词：凸体 Brunn-Minkowski理论 Lp混合投影体 Lp混合体积 

分 类 号：O186.5[理学—数学]