多胞形的L_p Blaschke加（英文）  

L_p Blaschke addition for polytopes

作　　者：赖德南 LAI Ducnam(College of Sciences,Shanghai University,Shanghai 200444,China;Department of Mathematics,Yenbai Teacher’s Training College,Yenbai 321110,Vietnam)

机构地区：[1]上海大学理学院,上海200444 [2]安沛师范学院数学系

出　　处：《应用数学与计算数学学报》2018年第4期949-954,共6页Communication on Applied Mathematics and Computation

基　　金：Supported by the National Natural Science Foundation of China(11071156);the Shanghai Leading Academic Discipline Project(J50101)

摘　　要：介绍了多胞形的L_p Blaschke加,推广了Lutwak关于中心堆成凸体的L_p Blaschke加,建立了相应的L_p Kneser-Süss不等式.Using the solution of the general Lp Minkowski problem for polytopes,the Lp Blaschke addition for polytopes(not origin symmetric)is introduced and the Lutwak’s Lp Blaschke addition for the origin symmetric convex bodies is extended.In addition,the corresponding Lp Kneser-Süss inequality for the polytopes is established.

关 键 词：Blaschke加 LP Blaschke加 LP Minkowski问题 LP Kneser-Süss不等式 

分 类 号：O186.5[理学—数学]