|x|在扩展的Chebyshev结点的有理插值  

On rational interpolation to|x|at the extended Chebyshev nodes

作　　者：李建俊[1] 张慧明 LI Jianjun;ZHANG Huiming(Minzu College Affaliated to Hebei Normal University,Shijiazhuang 050091,China;College of Mathematics and Physics,Hebei GEO University,Shijiazhuang 050031,China)

机构地区：[1]河北师范大学附属民族学院,河北石家庄050091 [2]河北地质大学数理学院,河北石家庄050031

出　　处：《河北大学学报（自然科学版）》2023年第1期16-20,共5页Journal of Hebei University(Natural Science Edition)

基　　金：河北省自然科学基金资助项目(A2019403169)。

摘　　要：研究|x|在扩展的Chebyshev结点的有理插值,得到逼近阶为O(1/(nln n)).通过数值计算发现相同逼近阶的误差与结点的密集度、结点所在曲线的凹凸性有关.In this paper,the rational interpolation of|x|at the extended Chebyshev nodes was studied.That the exact order of approximation is O(1/(nln n))was obtained.Through numerical calculation,it is found that the error of the same approximation order is related to the density of nodes and the concavity and convexity of the curve where the nodes are located.

关 键 词：扩展的Chebyshev结点 有理插值 Newman型有理算子 逼近阶 误差 

分 类 号：O174.41[理学—数学]