| 关于 C-Pettis 积分的一个控制收敛定理 |
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| 引用本文： | 赵大方,李必文.关于 C-Pettis 积分的一个控制收敛定理[J].数学研究与评论,2010,30(4):756-760. |
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| 作者姓名： | 赵大方 李必文 |
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| 作者单位： | 湖北师范学院数学与统计学院, 湖北 黄石 435002;湖北师范学院数学与统计学院, 湖北 黄石 435002 |
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| 基金项目： | 湖北省自然科学基金(Grant No.2007ABA124), 湖北师范学院科研基金(Grant No.2007D41). |
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| 摘 要： | In this paper, we give the Riemann-type extensions of Dunford integral and Pettis integral, C-Dunford integral and C-Pettis integral. We discuss the relationship between the C-Pettis integral and Pettis integral, and prove a controlled convergence theorem for the C-Pettis integral.
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| 关 键 词： | C-integral C-Pettis integral controlled convergence. |
| 收稿时间： | 6/4/2008 12:00:00 AM |
| 修稿时间： | 1/5/2009 12:00:00 AM |
A Controlled Convergence Theorem for the C-Pettis Integral |
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| Da Fang ZHAO and Bi Wen LI.A Controlled Convergence Theorem for the C-Pettis Integral[J].Journal of Mathematical Research and Exposition,2010,30(4):756-760. |
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| Authors: | Da Fang ZHAO and Bi Wen LI |
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| Institution: | School of Mathematics and Statistics,Hubei Normal University,Hubei 435002,P.R.China |
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| Abstract: | In this paper, we give the Riemann-type extensions of Dunford integral and Pettis integral, C-Dunford integral and C-Pettis integral. We discuss the relationship between the C-Pettis integral and Pettis integral, and prove a controlled convergence theorem for the C-Pettis integral. |
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| Keywords: | C-integral C-Pettis integral controlled convergence |
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