Quadratic convergence of approximations by CCC-Schoenberg operators
The authors generalize to the Canonical Complete Chebyshev splines some properties already known for Extended Chebyshev splines, like Marsden identity and Grevillle points. Also, they present an interesting algorithm which leads to numerically stable expressions for the Greville points for CCC-splines. They show that any CCC-spline space provides us with an infinite number of operators of the Schoenberg-type, and they give a simple characterization of them. After proving few important properties, they establish a sufficient condition for quadratic convergence of approximations by CCC-Schoenberg operators to a given function.
scientific article; zbMATH DE number 6705762
scientific article