| 梯形公式的渐进性质及其应用 |
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| 引用本文： | 杨少华,郑春丽. 梯形公式的渐进性质及其应用[J]. 阜阳师范学院学报(自然科学版), 2013, 30(2): 5-7 |
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| 作者姓名： | 杨少华 郑春丽 |
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| 作者单位： | 1. 阜阳师范学院数学与计算科学学院,安徽阜阳236037;辽宁大学经济学院,辽宁沈阳110036
2. 阜阳师范学院数学与计算科学学院,安徽阜阳,236037 |
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| 基金项目： | 国家特色专业建设基金,安徽高等学校省级自然科学基金,阜阳师范学院质量工程项目 |
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| 摘 要： | 文章首先给出了积分区间的长度趋于零时梯形公式余项中间点的渐进性性质,利用该性质对梯形公式进行修正,并证明修正后的梯形公式比原来的梯形公式具有更高的代数精度。
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| 关 键 词： | 梯形公式 余项 中间点 代数精度 |
Trapezoid formula's asymptotic property and its application |
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| YANG Shao-hua , ZHENG Chun-li. Trapezoid formula's asymptotic property and its application[J]. Journal of Fuyang Teachers College:Natural Science, 2013, 30(2): 5-7 |
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| Authors: | YANG Shao-hua ZHENG Chun-li |
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| Affiliation: | 1. School of Mathematics and Computational Science, Fuyang Teachers College, Fuyang Anhui 236037, China; 2. School of Economics, Liaoning University, Shenyang Liaoning 110036, China) |
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| Abstract: | The asymptotic property about the medium point of the Trapezoid formula＇ s remainder was first given when the length of integral interval tends to zero. And then the property was made use of to correct the Trapezoid formula. It was proved that the corrected Trapezoid formula has higher algebraic accuracy than the former one. |
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| Keywords: | Trapezoid formula remainder the medium point algebraic accuracy |
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