| 函数序列关于弱收敛概率测度序列积分的单调收敛定理 |
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| 引用本文： | 陈颖.函数序列关于弱收敛概率测度序列积分的单调收敛定理[J].重庆工学院学报,2009,23(7):171-174. |
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| 作者姓名： | 陈颖 |
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| 作者单位： | 西北师范大学数学与信息科学学院; |
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| 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.
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| 关 键 词： | 概率测度 弱收敛 单调收敛定理 一致可积 |
Monotone Convergence Theorems for the Integration of Function Sequence with respect to Weak Convergence Probability Measure Sequence |
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| CHEN Ying.Monotone Convergence Theorems for the Integration of Function Sequence with respect to Weak Convergence Probability Measure Sequence[J].Journal of Chongqing Institute of Technology,2009,23(7):171-174. |
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| Authors: | CHEN Ying |
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| Affiliation: | College of Mathematics and Information Science;Northwest Normal University;Lanzhou 730070;China |
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| Abstract: | 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. |
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| Keywords: | probabilitymeasure weakconvergence monotone convergencetheorem uniformly integrable |
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