|x|在加密的Chebyshev结点的有理插值  

Rational Interpolation to |x| at the Dense Chebyshev Nodes

作　　者：张慧明 李建俊[2] ZHANG Huiming;LI Jianjun(School of Mathematics and Physics,Hebei GEO University,Shijiazhuang 050031,China;Minzu College Affaliated to Hebei Normal University,Shijiazhuang 050091,China)

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

出　　处：《山西大学学报（自然科学版）》2024年第3期539-546,共8页Journal of Shanxi University(Natural Science Edition)

基　　金：河北省自然科学基金(A2020403024)。

摘　　要：本文在Chebyshev结点基础上构造一类新的结点,研究|x|在这类新结点的有理插值,利用放缩法得到确切逼近阶为O(1/n^(2)1ogn)。通过对|x|在几种结点组的误差进行数值计算、分析,揭示|x|的有理插值本质。This article constructs a new nodes based on the Chebyshev nodes,studies the rational interpolation ofxl at the new nodes,1 and uses the scaling method to obtain an exact approximation order that is O O(1/n^(2)1ogn) 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 

分 类 号：O174.41[理学—数学]