| 再论定积分几种近似计算的误差估计 |
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| 引用本文： | 潘宇,刘证.再论定积分几种近似计算的误差估计[J].鞍山科技大学学报,2004,27(2):87-90. |
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| 作者姓名： | 潘宇 刘证 |
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| 作者单位： | 鞍山科技大学理学院，鞍山科技大学理学院 辽宁鞍山 114044，辽宁鞍山 114044 |
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| 摘 要： | 在被积函数是二次连续可微或二次分段连续可微的条件下，考虑了定积分近似计算的中点矩形法、梯形法和抛物线法，并且得到误差的最佳估计，
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| 关 键 词： | 定积分 近似计算 误差估计 分段连续可微函教 中点矩形法 梯形法 抛物线法 |
| 文章编号： | 1672-4410(2004)02-0087-04 |
| 修稿时间： | 2004年2月2日 |
More on estimating errors in some approximation calculations of definite integrals |
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| PAN Yu,LIU Zheng.More on estimating errors in some approximation calculations of definite integrals[J].Journal of Anshan University of Science and Technology,2004,27(2):87-90. |
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| Authors: | PAN Yu LIU Zheng |
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| Abstract: | Approximately calculating definite integrals by midpoint-rectangular method, trapezoidal method and parabolic method are considered for the integrands which are twice continuously differentiable or twice piecewise continuously differentiable and the best estimations of errors are obtained. |
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| Keywords: | definite integral piecewise continuously differentiable function estimate of error |
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