局部凸空间P-自反下的中点局部k-一致凸性(光滑性)  

Midpoint Locally k-Uniformly Convexity (Smoothness) Condition Under P-Reflexivity on Locally Convex Spaces

作　　者：薛娇[1] 唐方旭[1] 宋眉眉[2] 

机构地区：[1]天津财经大学珠江学院,天津301811 [2]天津理工大学理学院,天津300384

出　　处：《数学的实践与认识》2017年第14期282-290,共9页Mathematics in Practice and Theory

摘　　要：在局部凸空间已有的中点局部kk-一致凸性和中点局部k-一致光滑性这一对对偶概念的基础上,证明了中点局部kk-一致凸性与中点局部(k+1)-一致凸性的关系,给出了在P-自反的条件下它们之间的等价对偶定理.At the base of midpoint locally k-uniformly convexity and midpoint locally k-uniformly smoothness, proved the relationship between midpoint locally k-uniformly convexity and midpoint locally（k＋1）-uniformly convexity, then on the conditions of P-reflexivity,we obtain further the equivalont dual theorem of between midpoint locally k-uniformly convexity and midpoint locally k-uniformly smoothness.

关 键 词：偶对 中点局部k-一致凸性 中点局部k-一致光滑性 P-自反 

分 类 号：O177[理学—数学]