关键词: Cartesian点集, Lagrange投影算子, 误差公式

Abstract:

This paper generalized good error formulas and considered Lagrange interpolation for Cartesian point sets. Taking 3dimension Cartesian point sets for example, we provided the integral form of error formulas for this class of interpolation problem using the relationship between the Bspline and  finite difference quotient. The results can be generalized in the ddimensional Cartesian point sets.

Key words: Cartesian point sets, Lagrange projectors, error formulas