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| 集值函数关于实值单调非减函数的集值Riemann-Stieltjes积分 | |
| 引用本文： | 薛红,王拉省. 集值函数关于实值单调非减函数的集值Riemann-Stieltjes积分[J]. 工程数学学报, 2006, 23(2): 305-313 |
| 作者姓名： | 薛红 王拉省 |
| 作者单位： | 西安工程科技学院理学院,西安,710048;西安工程科技学院理学院,西安,710048;西安交通大学理学院,西安,710049 |
| 摘 要： | 本文首先建立了集值函数关于实值单调非减函数的集值Riemann-Stieltjes积分,然后讨论了集值Riemann-Stieltjes积分的性质,给出了集值Riemann-Stieltjes可积的充要条件,最后引入集值Riemann-Stieltjes随机积分。 |
| 关 键 词： | 集值函数 集值Riemann-Stieltjes积分 集值Riemann-Stieltjes随机积分 |
| 文章编号： | 1005-3085(2006)02-0305-09 |
| 收稿时间： | 2004-10-08 |
| 修稿时间： | 2004-10-08 |
Set-valued Riemann-Stieltjes Integral of Set-valued Function with Respect to Real Non-decreasing Function |
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| XUE Hong,WANG La-sheng. Set-valued Riemann-Stieltjes Integral of Set-valued Function with Respect to Real Non-decreasing Function[J]. Chinese Journal of Engineering Mathematics, 2006, 23(2): 305-313 | |
| Authors: | XUE Hong WANG La-sheng |
| Abstract: | Established in this paper is the set-valued Riemann-Stieltjes integral of a set-valued function with respect to a real valued non-decreasing function. We then discuss the properties of the set-valued Riemann-Stieltjes integral. Some sufficent and necessary conditions of Riemann-Stieltjes integrablility are obtained. Finally, we introuce the set-valued Riemann-Stieltjes stochastic integral. |
| Keywords: | set-valued function set-valued Riemann-Stieltjes integral set-valued Riemann-Stieltjes stochastic integral |
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