| 一般Henstock积分的支配收敛定理 |
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| 引用本文： | 丁传松,李秉彝.一般Henstock积分的支配收敛定理[J].数学学报,1994,37(4):497-506. |
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| 作者姓名： | 丁传松 李秉彝 |
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| 作者单位： | 西北师范大学数学系!兰州730070(丁传松)，新加坡国立大学数学系(李秉彝) |
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| 摘 要： | 本文给出划分空间上一般Ｈｅｎｓｔｏｃｋ积分，最一般形式支配收敛定理、推进和概括这一方面的结论．
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| 关 键 词： | 一般Henstock积分 支配收敛定理 划分空间 |
| 收稿时间： | 1990-8-15 |
| 修稿时间： | 1993-3-3 |
The Controlled Convergence Theorem for the General Henstock Integral |
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| Ding Chuan Song.The Controlled Convergence Theorem for the General Henstock Integral[J].Acta Mathematica Sinica,1994,37(4):497-506. |
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| Authors: | Ding Chuan Song |
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| Institution: | Ding Chuan Song (Department of Mathematics, Northwest Normal University, Lanzhou 730070, China) Lee Peng Yee (Department of Mathematics, National University of Singapore) |
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| Abstract: | Some generalied convergence theorems have been proved for the Henstock integral on the real line. In particular, the controlled convergence theorem has been proved independently by Djvarsheishvili (1951) and Lee and Chew (1985). It has also been extended to higher dimensions. In this paper, we prove it for the general Henstock integral, or in the language of Henstock, the division space. |
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| Keywords: | Henstock integrals division spaces controlled convergence |
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