| Ostrowski不等式的改进及其应用 |
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| 引用本文： | 王帮容,闻道君.Ostrowski不等式的改进及其应用[J].数学的实践与认识,2010,40(9). |
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| 作者姓名： | 王帮容 闻道君 |
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| 摘 要： | 通过对Ostrowski不等式的改进,扩大了Ostrowski积分公式的适用范围,将该积分公式应用于数值积分推广了经典的中点积分公式、梯形积分公式和Simpson积分公式,同时得到相应的最佳误差限,并给出了具体的数值应用.
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| 关 键 词： | Ostrowski不等式 最佳误差限 梯形积分 Simpson积分 |
The Improvement and Applications of Ostrowski Inequality |
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| WANG Bang-rong,WEN Dao-jun.The Improvement and Applications of Ostrowski Inequality[J].Mathematics in Practice and Theory,2010,40(9). |
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| Authors: | WANG Bang-rong WEN Dao-jun |
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| Abstract: | In this paper,the applicability of the Ostrowski quadrature formula is enlarged with the improvement of Ostrowski inequality.The classical numerical integration formulas such as the midpoint,the trapezoid and the simpson are extended from the improved inequality, and the corresponding sharp error bounds are obtained at the same time.The specific application of numerical integration is given at last. |
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| Keywords: | ostrowski inequality sharp error bounds trapezoidal integration simpson quadrature |
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