A Natural Formulation of Quasi-Interpolation by Multivariate Splines
A Natural Formulation of Quasi-Interpolation by Multivariate Splines
A quasi-interpolation formula based on discrete function values is given in the form of a multivariate spline series that yields the local approximation order characterized by the Fix-Strang conditions. This formula can be considered as a partial sum of the formal Neumann series expansion of the formal interpolation operator, and …