山西大学学报（自然科学版）2024，Vol.47Issue(3)：539-546,8.DOI:10.13451/j.sxu.ns.2023113
|x|在加密的Chebyshev结点的有理插值
Rational Interpolation to|x|at the Dense Chebyshev Nodes
摘要
Abstract
This article constructs a new nodes based on the Chebyshev nodes,studies the rational interpolation of|x|at the new nodes,and uses the scaling method to obtain an exact approximation order that is O(1/n2logn).By numerically calculating and analyzing the errors of|x|in several node groups,the essence of rational interpolation of|x|is revealed.关键词
加密的Chebyshev结点/调整的Chebyshev结点/有理插值/Newman型有理算子/逼近阶Key words
dense Chebyshev nodes/adjusted Chebyshev nodes/rational interpolation/Newman-type rational operators/order of ap-proximation分类
数理科学引用本文复制引用
张慧明,李建俊..|x|在加密的Chebyshev结点的有理插值[J].山西大学学报（自然科学版）,2024,47(3):539-546,8.基金项目
河北省自然科学基金(A2020403024) （A2020403024）
