| 改进Lagrange插值多项式误差上界的系数 |
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| 引用本文： | 汪巧云,黄仿伦.改进Lagrange插值多项式误差上界的系数[J].大学数学,2011,27(2):25-29. |
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| 作者姓名： | 汪巧云 黄仿伦 |
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| 作者单位： | 安徽大学数学科学学院; |
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| 基金项目： | Supported by National Bilingual Teaching Demonstration Course,Numerical Analysis,in 2008 |
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| 摘 要： | 当用Lagrange插值多项式逼近函数时,重要的是要了解误差项的性态.本文研究具有等距节点的Lagrange插值多项式,估计了Lagrange插值多项式逼近函数误差项的上界,改进了小于5次Lagrange插值多项式逼近函数误差界的系数.
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| 关 键 词： | Lagrange插值多项式 逼近 误差分析 |
Improving Coefficients of Error Bounds for Lagrange Interpolation Polynomials |
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| WANG Qiao-yun,HUANG Fang-lun.Improving Coefficients of Error Bounds for Lagrange Interpolation Polynomials[J].College Mathematics,2011,27(2):25-29. |
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| Authors: | WANG Qiao-yun HUANG Fang-lun |
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| Institution: | WANG Qiao-yun,HUANG Fang-lun(School of Mathematics Science,Anhui University,Hefei 230039,China) |
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| Abstract: | It is improtant to understand the nature of the error term when a Lagrange interpolation polynomial is used to approximate a function.This paper considers the Lagrange polynomials with equally spaced nodes.We estimate the upper bounds of the error terms for approximation using Lagrange interpolation polynomials.The coefficients of error bounds for Lagrange interpolation polynomials of degree less than 5 are improved. |
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| Keywords: | lagrange interpolation polynomials approximation error analysis |
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