| 实值函数列的一致Henstock可积性及收敛定理 |
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| 引用本文： | 努尔买买提.实值函数列的一致Henstock可积性及收敛定理[J].新疆大学学报(理工版),1992(3). |
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| 作者姓名： | 努尔买买提 |
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| 作者单位： | 新疆大学数学系 |
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| 摘 要： | 本文证明了在一致可积的条件下可对Henstock可积函数列逐项积分;并证明了一致可积性比1]中的几个收敛定理的条件弱。
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| 关 键 词： | Henstock积分 一致可积 δ(x)—精细分法 |
Uniformly Henstock Integrability and Convergence Theorems of Real--valued Function Sequence |
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| Nurmuhammat.Uniformly Henstock Integrability and Convergence Theorems of Real--valued Function Sequence[J].Journal of Xinjiang University(Science & Engineering),1992(3). |
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| Authors: | Nurmuhammat |
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| Institution: | Nurmuhammat Department of Mathematics |
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| Abstract: | This paper proves that under the condition on uniformly integrability the sequence of real--valued functions may be integrated term by term. It is also shown that the uniformly integrability is weaker than the condition of some convergence theorem. |
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