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 the constructing the basis functions of the interpolants are given.
Applied Mathematics | Mathematics
He, Tian-Xiao; Hsu, Leetsch; and Shiue, Peter, "On an Extension of Abel-Gontscharoff's Expansion Formula" (2005). Scholarship. 18.