| Simpson不等式的改进及其应用 |
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| 引用本文： | 闻道君,龚黔芬.Simpson不等式的改进及其应用[J].数学的实践与认识,2010,40(21). |
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| 作者姓名： | 闻道君 龚黔芬 |
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| 摘 要： | 通过一阶导数对Simpson不等式进行了改进,并推导出了相应的数值积分公式和最佳误差限,扩大了Simpson积分公式的适用范围,最后给出了具体的数值应用.
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| 关 键 词： | Simpson不等式 Cauchy积分不等式 数值积分 最佳误差限 |
The Improvement and Application of Simpson Inequality |
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| WEN Dao-jun,GONG Qian-fen.The Improvement and Application of Simpson Inequality[J].Mathematics in Practice and Theory,2010,40(21). |
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| Authors: | WEN Dao-jun GONG Qian-fen |
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| Abstract: | The domain of applicability for the simpson quadrature formula is expanded in this paper,with the improvement of simpson inequality based on the first derivative.The corresponding numerical integration formula and the sharp error bounds are derived from the improved inequality at the same time,and the numerical application of simpson inequality is given at last. |
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| Keywords: | simpson inequality cauchy integration inequality numerical integration sharp error bounds |
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