Polynomial interpolation in R(3)
In this article, we exhibit a 12-dimensional subspace G of polynomials of three variables of degree 3 which interpolates at an arbitrary 4 points, i.e., for every four distinct points u(1),u(2),u(3),u(4) epsilon R(3) and for every function f epsilon C(R(3)), there exists a function g epsilon G such that g(u(j)) = f (u(j)), for j = 1, 2, 3, 4. (C) 2004 Elsevier Ltd. All rights reserved.
lagrange interpolation simultaneous approximation freud weights