Polynomial splines as examples of Chebyshevian splines (Q430996)

Spaces of geometrically continuous (piecewise defined) functions are considered in this paper. Such functions in use for approximation purposes of all sorts may be piecewise polynomials or more generally coming from extended Chebyshev spaces. The latter are natural generalisations of polynomial spline structures. The main point is to identify which lower triangular connection matrices give rise to piecewise defined functions that are suitable (good) for design purposes.