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Paper
A constructive approach to kergin interpolation in Rk: Multivariate B-splines and lagrange interpolation
Abstract
In this paper we construct an interpolation map from Cn(Rk) into 𝛑n(R(k)) (polynomials of total degree ≦ n) whose existence and uniqueness was proved by P. Kergin. We also provide numerically efficient and stable recurrence relations for computing the multivariate B-spline and its derivatives. © 1980 Rocky Mountain Journal of Mathematics.