L_(p) Brunn-Minkowski型仿射均质积分不等式  

L_(p) Brunn-Minkowski Type Inequalities for Affine Quermassintegrals

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》2021年第2期316-320,共5页Mathematics in Practice and Theory

摘　　要：经典的仿射均质积分不等式是Brunn-Minkowski理论中一个关键不等式.建立了L_(p) Brunn-Minkowski型仿射均质积分不等式,定义了L_(p) Brunn-Minkowski型仿射混合均质积分且推广得到了L_(p) Brunn-Minkowski型仿射混合均质积分不等式.The classical affine quermassintegrals inequality is a cornerstone in the BrunnMinkowski theory.In this paper,we establish the Brunn-Minkowski type inequalities for affine quermassintegrals,and furthermore,we define the Brunn-Minkowski type inequalities for mixed affine quermassintegrals and obtain some inequalities for them.

关 键 词：凸体 Brunn-Minkowski理论 均质积分 仿射均质积分 

分 类 号：O186.5[理学—数学]