Bivariate Lagrange interpolation at the Padua points: The generating curve approach
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Bos, 2005, A numerical study of the Xu polynomial interpolation formula in two variables, Computing, 76, 311
L. Bos, S. De Marchi, M. Vianello, On the Lebesgue constant for the Xu interpolation formula, J. of Approx. Theory, to appear.
L. Bos, S. De Marchi, M. Vianello, Y. Xu, Bivariate Lagrange interpolation at the Padua points: the ideal theory approach, submitted.
Brutman, 1997, Lebesgue functions for polynomial interpolation—a survey, Ann. Numer. Math., 4, 111
Caliari, 2005, Bivariate polynomial interpolation on the square at new nodal sets, Appl. Math. Comput., 165, 261, 10.1016/j.amc.2004.07.001
Sündermann, 1984, On projection constants of polynomials spaces on the unit ball in several variables, Math. Z., 188, 111, 10.1007/BF01163879
Xu, 1995, Christoffel functions and Fourier series for multivariate orthogonal polynomials, J. Approx. Theory, 82, 205, 10.1006/jath.1995.1075