Interpolation systems in Rk

AbstractIn a previous paper (Numer. Math. 39 (1982), 1–14), M. Gasca and J. I. Maeztu used a geometrical method for the construction of the solutions of certain Hermite and Lagrange interpolation problems in Rk. In the present paper, the method is generalized in two different ways: first, the interpolant is not assumed to be a polynomial, and second, a parameter is introduced in order to render the method more versatile