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.

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Bibliographic Details
Published inZhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 31; no. 1; pp. 21 - 23
Main Authors HEGuo-long(何国龙), CHENZhi-xiang(陈志祥), ZHOUSong-ping(周颂平)
Format Journal Article
LanguageChinese
Published Zhejiang University Press 01.01.2004
Subjects
chebyshev结点
lagrange插值多项式
逼近度
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ISSN1008-9497

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Summary: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.
ISSN:1008-9497