Approximation to function |x| α by interpolation polynomials(插值多项式对函数|x|α的逼近)

研究插值多项式对|x|α达到最佳逼近度的一种构造方法,证明了当n=2m,m∈N,α∈(0,1]时,其中, R2m(x)是以x0=0,为插值结点的对|x|α的Lagrange插值多项式,从而推广了M. Revers的结论.

Bibliographic Details
Main Authors: HEGuo-long(何国龙), CHENZhi-xiang(陈志祥), ZHOUSong-ping(周颂平)
Format: Article
Language:zho
Published: Zhejiang University Press 2004-01-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/zjup/1008-9497.2004.31.1.21-23