集值函数Riemann-Stieltjes积分的相关性质及存在性定理  

Properties and existence theorems of set-valued function Riemann-Stieltjes integral

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：《西南民族大学学报（自然科学版）》2010年第1期40-43,共4页Journal of Southwest Minzu University(Natural Science Edition)

摘　　要：利用集值函数Riemann-Stieltjes积分的定义,讨论了集值Riemann-Stieltjes积分的相关性质,并给出了集值Riemann-Stieltjes积分的存在性定理.这些结论对集值随机过程积分的进一步研究将起到很重要的作用.This paper uses definition of set-valued Riemann-Stieltjes integral of set-valued function with respect to real non-decreasing function, studies some properties of set-valued Riemann-Stieltjes integral, and then gives existence theorems of set-valued Riemann-Stieltjes integral of set-valued function on real non-decreasing function. These results play important roles in thrther studying set-valued order increasing function.

关 键 词：集值函数 集值Riemann—Stieltjes积分 存在性定理 

分 类 号：O211[理学—概率论与数理统计]