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Hermite interpolation of analytic functions

 

作者: John Klippert,  

 

期刊: International Journal of Mathematical Education in Science and Technology  （Taylor Available online 1986）
卷期: Volume 17, issue 5  

页码: 617-621

 

ISSN:0020-739X

 

年代: 1986

 

DOI:10.1080/0020739860170511

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

We derive a Hermite interpolation formula with remainder for a function analytic on a disk. Given such a function,f, and given a preassigned matrix of nodesZ(all such nodes being in a certain closed subdisk), we show that the sequence of Hermite interpolation polynomials forfassociated withZconverges uniformily tofon the closed subdisk.

 

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