ON AN EXTENSION OF ABEL-GONTSCHAROFF'S EXPANSION FORMULA

Tianxiao, He, Leetsch, Hsu -, Peter Peter, Shiue · Acta Scientiarum Naturalium Universitatis Sunyatseni · 2005

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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