| 一类Gauss-Jacobi数值求积公式的极限性质 |
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| 引用本文： | 张浩,王祝园,张文明.一类Gauss-Jacobi数值求积公式的极限性质[J].大学数学,2009,25(4). |
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| 作者姓名： | 张浩 王祝园 张文明 |
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| 作者单位： | 1. 合肥财经职业学院,合肥,230601
2. 北京现代管理大学,北京,102433 |
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| 摘 要： | 讨论了形如∫aa+h(x-a)βf(x)dx的Gauss-Jacobi求积公式,当积分区间长度趋向于零时,确定了求积公式的余项中介点η的渐近性,并给出了校正公式,比原公式提高了两次代数精度.此外,本文的结论包含了文3]的结果.
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| 关 键 词： | Gauss-Jacobi求积公式 渐近性 校正公式 代数精度 |
Limit Properties of a Kind of Gauss-Jacobi Numerical Integration Formula |
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| ZHANG Hao,WANG Zhu-yuan,ZHANG Wen-ming.Limit Properties of a Kind of Gauss-Jacobi Numerical Integration Formula[J].College Mathematics,2009,25(4). |
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| Authors: | ZHANG Hao WANG Zhu-yuan ZHANG Wen-ming |
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| Abstract: | This paper discusses a kind of Gauss-Jacobi quadrature formula as ∫a+ha(x-a)βf(x)dx.An asymptotic property of medium points η within remainder term is calculated when the length of integral interval tends to zero.The authors thus advance a correction formula which is higher two algebraic accuracy than previous formula.In addition,the result generalizes that of paper 3] in Bibliography. |
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| Keywords: | Gauss-Jacobi quadrature formula asymptotic property correction formula algebraic accuracy |
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