On an extension of Abel-Gontscharoff’s expansion formula | Zendy

Tian-Xiao He | Zendy; L. C. Hsu | Zendy; Peter J.-S. Shiue | Zendy

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On an extension of Abel-Gontscharoff’s expansion formula

Author(s) -

Tian-Xiao He,

L. C. Hsu,

Peter J.-S. Shiue

Publication year - 2005

Publication title -

analysis in theory and applications

Language(s) - English

Resource type - Journals

eISSN - 1672-4070

pISSN - 1573-8175

DOI - 10.1007/bf02836857

Subject(s) - mathematics , constructive , generalization , interpolation (computer graphics) , extension (predicate logic) , series (stratigraphy) , algebra over a field , calculus (dental) , basis (linear algebra) , pure mathematics , mathematical analysis , geometry , computer science , artificial intelligence , motion (physics) , medicine , paleontology , dentistry , process (computing) , biology , programming language , operating system

We present a constructive generalization of Abel-Gontscharoff’s series expansion to higher dimensions. A constructive application to a problem of multivariate interpolation is also investigated. In addition, two algorithms for constructing the basis functions of the interpolants are given.

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