Quadratic convergence of approximations by CCC-Schoenberg operators

Constructing totally positive piecewise Chebyshevian B-spline bases

“…Our overview will be as brief as possible. For further acquaintance with Extended Chebyshev spaces, see, for instance, [45,43,31,32,28,34], with Chebyshevian splines, see [45,43,5,8], with piecewise Chebyshevian splines, see [4,29,28,40,41,33,35].…”

“…Then, the connection conditions (8) can be expressed by means of these generalised derivatives as follows:…”