| Newton-Cotes数值求积公式渐近性的注记 |
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| 引用本文： | 胡晶地,苏化明. Newton-Cotes数值求积公式渐近性的注记[J]. 数学的实践与认识, 2012, 42(11): 172-175 |
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| 作者姓名： | 胡晶地 苏化明 |
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| 作者单位： | 1. 浙江广厦建设职业技术学院信息与控制工程学院,浙江东阳,322100
2. 合肥工业大学数学系,安徽合肥,230091 |
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| 摘 要： | 数值积分中的Newton-Cotes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,当此关系式严格成立时,证明了被积函数是次数不超过某个常数的多项式函数.
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| 关 键 词： | 数值积分公式 中介点 渐近性 多项式函数 |
Note on Asymptotic Properties For Newton-Cotes Numerical Integral Formula |
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| HU Jing-di , SU Hua-ming. Note on Asymptotic Properties For Newton-Cotes Numerical Integral Formula[J]. Mathematics in Practice and Theory, 2012, 42(11): 172-175 |
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| Authors: | HU Jing-di SU Hua-ming |
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| Affiliation: | 1.Information and Control Engineering Institute,Guangsha College of Applied Construction Technology, Dongyang 322100,China) (2.Department of Mathematics of Hefei University of Technology,Hefei 230009,China) |
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| Abstract: | The medium points contained in the remainder term of Newton-Cotes numerical integral formula satisfy constant expression of the limit relation when the length of integral interval tends to zero.It is proved that the integrands are polynomial functions which degree can not excess one constant number when these expressions of the relation are hold strictly. |
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| Keywords: | Numerical integral formula medium point asymptotic property polynomial function |
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