| 离散参数集值序下鞅的Riesz分解及收敛性 |
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| 引用本文： | 薛红,王拉省.离散参数集值序下鞅的Riesz分解及收敛性[J].数学杂志,2007,27(2):201-207. |
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| 作者姓名： | 薛红 王拉省 |
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| 作者单位： | 西安工程科技学院理学院,陕西西安,710048 |
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| 摘 要： | 本文研究了离散参数集值序下鞅的Riesz分解及收敛性.利用集值序关系及集值鞅方法,给出了离散参数集值序下鞅的Riesz分解的存在性及唯一性定理.并获得离散参数集值序下鞅的收敛性定理.
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| 关 键 词： | 集值序下鞅 Riesz分解 收敛性 |
| 文章编号： | 0255-7797（2007）02-0201-07 |
| 修稿时间： | 2004-11-162005-04-08 |
RIESZ DECOMPOSITION AND CONVERGENCE FOR SET-VALUED ORDER SUBMARTINGALE WITH DISCRETE PARAMETER |
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| XUE Hong,WANG La-sheng.RIESZ DECOMPOSITION AND CONVERGENCE FOR SET-VALUED ORDER SUBMARTINGALE WITH DISCRETE PARAMETER[J].Journal of Mathematics,2007,27(2):201-207. |
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| Authors: | XUE Hong WANG La-sheng |
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| Abstract: | In this paper,we study the Riesz decomposition and convergence of set-valued order submartingale with discreate parameter.By set-valued order relations and martingale methods,we give the existence and uniquess theorem of set-valued order submartingale Riesz decomposition.Based on the Riesz decomposition theorem,we obtain the convergence theorems of set-valued order submartingale. |
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| Keywords: | set-valued order submartingale Riesz decomposition convergence |
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