| 求积公式余项"中间点"渐进性的一般性定理 |
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| 引用本文： | 李毅夫.求积公式余项"中间点"渐进性的一般性定理[J].贵州师范大学学报(自然科学版),2011,29(1):58-61. |
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| 作者姓名： | 李毅夫 |
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| 作者单位： | 黑龙江交通职业技术学院,黑龙江齐齐哈尔,161000 |
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| 摘 要： | 对范围广泛的一般求积公式余项"中间点"渐进性的问题进行了进一步的探讨.证明了在大多数情况下,数值积分公式余项中的"中间点"η,确实具有积分区间长度趋于零时,η趋于区间中点的性质.
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| 关 键 词： | 对称型求积公式 Peano核 "中间点" |
General theorem on the asymptotic behavior of the " mid-point" of quadrature remainder |
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| LI Yi-fu.General theorem on the asymptotic behavior of the " mid-point" of quadrature remainder[J].Journal of Guizhou Normal University(Natural Sciences),2011,29(1):58-61. |
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| Authors: | LI Yi-fu |
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| Institution: | LI Yi-fu(Heilongjiang Communications Polytechnic College,Qiqihar,Heilongjiang 161000,China) |
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| Abstract: | A further research to the asymptotic behavior of the "mid-point" of quadrature remainder in general is presented by this paper.It is shown that,truly in most cases,η,the "mid-point" of a quadrature remainder,tends to the mid-point of the quadrature interval as the length of the interval tends to zero. |
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| Keywords: | aymmetry quadrature formula Peano kernel mid-point |
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