Convergence of Grünwald interpolatory operators on the whole real line(实数轴上Grünwald插值算子的收敛性)

考虑了拓展插值结点取值范围后的Grünwald插值算子在实数轴上的收敛性,证明了将结点范围扩大到全实轴后,即取为Hermite多项式的零点,对任意点x∈(-∞,∞),有Gn(f,x)→f(x),n→∞,其中,f(x)为实数轴上任一满足的连续函数.

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Bibliographic Details
Published inZhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 30; no. 5; pp. 485 - 488
Main Authors ZHAOYi(赵易), ZHOUSong-ping(周颂平)
Format Journal Article
LanguageChinese
Published Zhejiang University Press 01.09.2003
Subjects
grünwald插值算子
hermite多项式
收敛性
Online AccessGet full text
ISSN1008-9497

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Summary:考虑了拓展插值结点取值范围后的Grünwald插值算子在实数轴上的收敛性,证明了将结点范围扩大到全实轴后,即取为Hermite多项式的零点,对任意点x∈(-∞,∞),有Gn(f,x)→f(x),n→∞,其中,f(x)为实数轴上任一满足的连续函数.
ISSN:1008-9497