| 常用数值求积公式渐近性的注记 |
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| 引用本文： | 胡晶地. 常用数值求积公式渐近性的注记[J]. 大学数学, 2010, 26(4) |
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| 作者姓名： | 胡晶地 |
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| 摘 要： | 常用数值求积公式余项中介点当积分区间长度趋于零时满足确定的极限关系式,当这些关系式严格成立时(非极限形式),证明了被积函数是次数不超过某常数的多项式函数.
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| 关 键 词： | 数值求积公式 中介点 渐近性 校正公式 多项式函数 |
Note on Asymptotic Analysis for Numerical Intergral Formulas in Common Use |
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| HU Jing-di. Note on Asymptotic Analysis for Numerical Intergral Formulas in Common Use[J]. College Mathematics, 2010, 26(4) |
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| Authors: | HU Jing-di |
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| Abstract: | The medium points within remainder term of numerical integral formulas in common satisfy contain expression of the limit relation when the length of integral interval tends to zero. It has been peoved that the integrands are polynomial functions which degree isn’t excess one constant number when these expressions of the relation are hold strictly. |
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| Keywords: | numerical integral formula medium point asymptotic properties correcting formula polynomial function |
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