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| ON AN EXTENSION OF ABEL-GONTSCHAROFF''''S EXPANSION FORMULA | |
| 引用本文： | Leetsch C.Hsu,Peter J.S.Shiue. ON AN EXTENSION OF ABEL-GONTSCHAROFF''''S EXPANSION FORMULA[J]. 分析论及其应用, 2005, 21(4) |
| 作者姓名： | Leetsch C.Hsu Peter J.S.Shiue |
| 作者单位： | Dalian University of Technology China，University of Nevada Las Vegas USA |
| 摘 要： | 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. |
ON AN EXTENSION OF ABEL-GONTSCHAROFF''''S EXPANSION FORMULA |
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| Tianxiao He,Leetsch C. Hsu,Peter J. S. Shiue. ON AN EXTENSION OF ABEL-GONTSCHAROFF''''S EXPANSION FORMULA[J]. Analysis in Theory and Applications, 2005, 21(4) | |
| Authors: | Tianxiao He Leetsch C. Hsu Peter J. S. Shiue |
| Abstract: | 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. |
| Keywords: | Abel-Gontscharoff's Expansion Formula Abel-Gontscharoff-Gould polynomial multivariate Abel-Gontscharoff interpolation higher dimensional dot product annihilation coefficients EXTENSION FORMULA algorithms constructing basis functions addition application problem multivariate interpolation series expansion dimensions present generalization |
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