二阶模糊随机过程均方强Henstock积分的收敛性  

Convergence properties of mean-square strong Henstock integrals for second order fuzzy stochastic process

作　　者：任爱红[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《西北师范大学学报（自然科学版）》2013年第2期5-8,共4页Journal of Northwest Normal University(Natural Science)

基　　金：陕西省教育厅科研计划项目(11JK0506)

摘　　要：引进了二阶模糊随机过程AC,AC*,ACG*的定义.通过这些定义,研究了二阶模糊随机过程均方强Henstock可积函数列的一个收敛定理,并给出了二阶模糊随机过程均方强Henstock可积函数列的控制收敛定理.In this paper, AC,AC＊ ,ACG＊ of second-order fuzzy stochastic process are defined. Making use of these definitions, a convergence theorem of mean-square strong Henstock integral for the sequence of the fuzzy stochastic process is studied. Finally, a controlled convergence theorem for the sequence of the strong fuzzy stochastic process is obtained.

关 键 词：二阶模糊随机过程 均方强Henstock积分 控制收敛定理 

分 类 号：O159[理学—数学]