| Cotes数值求积公式的校正 |
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| 引用本文： | 杨少华,华志强.Cotes数值求积公式的校正[J].数学杂志,2012,32(4):644-648. |
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| 作者姓名： | 杨少华 华志强 |
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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. 内蒙古民族大学数学学院,内蒙古通辽,028043 |
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| 基金项目： | 教育部、财政部资助国家特色专业，安徽高校省级自然科学基金 |
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| 摘 要： | 本文研究了Cotes数值求积公式代数精度的问题,给出了Cotes求积公式余项"中间点"的渐进性定理.利用该定理得到了改进的Cotes求积公式,并证明了改进后的Cotes求积公式比原来的公式具有较高的代数精度.
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| 关 键 词： | Cotes数值求积公式 代数精度 余项 |
THE CORRECTION OF COTES NUMERICAL INTEGRATION FORMULA |
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| YANG Shao-hua
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HUA Zhi-qiang.THE CORRECTION OF COTES NUMERICAL INTEGRATION FORMULA[J].Journal of Mathematics,2012,32(4):644-648. |
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| Authors: | YANG Shao-hua HUA Zhi-qiang |
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| Institution: | 1.School of Mathematics and Computational Science,Fuyang Normal College,Fuyang 236037,China)(2.College of Economics,Liaoning Uiversity,Shenyang 110036,China)(3.College of Mathematics,Inner Monglia Uiversity for the Nationalities,Tongliao 028043,China) |
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| Abstract: | In this paper,we study Cotes numerical integration formula’s algebraic accuracy and give the asymptotic theorem of the remainder medium point in the Cotes numerical integration formula,then the correction of Cotes numerical integration formula corresponding to this theorem is presented,which has higher algebraic accuracy than former Cotes numerical integration formula. |
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| Keywords: | Cotes numerical integration formula algebraic accuracy remainder |
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