节点文献
|x|的有理插值
ON RATIONAL INTERPOLATION TO |x|
【Abstract】 The asymptotic property of approximation to |x| is studied.It is proved that,if increase nodes near zero,the order of approximation for the Newman-type rational interpolation to |x| at the second kind of Chebyshev nodes is O(1/(n~2logn)).And get a very important conclusion:increases nodes in the near zero can improve the approximation order of the original.
【关键词】 Chebyshev nodes of the second kind；
rational interpolation；
Newman-type rational operators；
order of approximation；
【Key words】 Chebyshev nodes of the second kind； rational interpolation； Newman-type rational operators； order of approximation；
【Key words】 Chebyshev nodes of the second kind； rational interpolation； Newman-type rational operators； order of approximation；
【基金】 河北省高等学校科学技术研究青年基金项目(QN2014018)
- 【文献出处】 高等学校计算数学学报 ,Numerical Mathematics A Journal of Chinese Universities , 编辑部邮箱 ,2016年01期
- 【分类号】O241.5
- 【被引频次】7
- 【下载频次】91