|x|在调整的第二类Chebyshev结点组的有理插值  

ON RATIONAL INTERPOLATION TO |x| AT THE ADJUSTED CHEBYSHEV NODES OF THE SECOND KIND

作　　者：张慧明[1] 李建俊[2] 段继光[2] 

机构地区：[1]石家庄经济学院数理学院,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：《数学杂志》2014年第3期509-514,共6页Journal of Mathematics

摘　　要：本文研究了Newman型有理算子逼近|x|的收敛速度,插值结点组X取调整的第二类Chebyshev结点组.利用上界估计得到确切的逼近阶为O 1n2.这个结果优于结点组取作第一、二类Chebyshev结点组、等距结点组和正切结点组.In this paper, we consider the rate of convergence of Newman-type rational operator approximation to ｜x｜, it is based on the adjusted Chebyshev nodes of the second kind.The upper bound estimation are used to obtain the exact order of approximation to be O（1n2）.The result is better than which of the nodes taking for the Chebyshev nodes of the first kind, the Chebyshev nodes of the second kind, equidistant nodes and the tangent nodes.

关 键 词：调整的第二类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]