| 几类求积公式的统一推行及其应用 |
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| 引用本文： | 圣宝建.几类求积公式的统一推行及其应用[J].安徽理工大学学报(自然科学版),2009,29(1). |
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| 作者姓名： | 圣宝建 |
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| 作者单位： | 南京信息工程大学数理学院,江苏,南京,210044 |
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| 摘 要： | 通过构造函数Pi（t）给出了几类求积公式（辛普森公式，梯形公式，中点公式）的统一的误差估计，结果表明：推行后的求积公式误差更小，并通过举例说明了这些结果比已有文献中的结果要好。最后给出这些结果在数值积分方面的应用。
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| 关 键 词： | Ostrowski类不等式 辛普森不等式 中点不等式 梯形不等式 |
Further Extensions of Some Quadrature Rules and Application |
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| SHENG Bao-Jian.Further Extensions of Some Quadrature Rules and Application[J].Journal of Anhui University of Science and Technology:Natural Science,2009,29(1). |
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| Authors: | SHENG Bao-Jian |
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| Institution: | College of Math and Physics;Nanjing University of Information and Technology;Nanjing Jiangsu 210044;China |
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| Abstract: | The uniform error estimation of some formulas of quadrature(such as Simpson's inequality,trapezoid inequality and mid-point inequality)were given by construction function.And we can see,the errors of the generalized quadrature formulas are lower.The results were better than those included in references,which was explained by some examples.Finally the results application in numerical integration was given. |
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| Keywords: | ostrowski-type inequality simpson's inequality mid-point inequality trapezoid inequality |
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