Quasi-Chebyshev splines with connection matrices: application to variable degree polynomial splines Original Research Article

Extending a result recently obtained for Chebyshevian splines, we give a necessary and sufficient condition for the existence of blossoms (or, equivalently, of B-spline bases) for splines with connection matrices and with sections in different four-dimensional quasi-Chebyshev spaces. We apply this result to the study of variable degree polynomial splines.