函数序列关于弱收敛概率测度序列积分的单调收敛定理  

Monotone Convergence Theorems for the Integration of Function Sequence with respect to Weak Convergence Probability Measure Sequence

作　　者：陈颖[1] 

机构地区：[1]西北师范大学数学与信息科学学院,兰州730070

出　　处：《重庆工学院学报（自然科学版）》2009年第7期171-174,共4页Journal of Chongqing Institute of Technology

摘　　要：研究了函数序列关于弱收敛概率测度序列积分的单调收敛性,在新的条件下得到了单调收敛定理.Monotone convergence theorems for the integration of function sequence with respect to weak convergence probability measure sequence are studied. And some new equivalent conditions of weak convergence of probability measure are obtained.

关 键 词：概率测度 弱收敛 单调收敛定理 一致可积 

分 类 号：O221.5[理学—运筹学与控制论]