Some remarks about the connection between fractional divided differences, fractional B-splines, and the Hermite-Genocchi formula
Fractional B-splines are a natural extension of classical B-splines. In this short paper, we show their relations to fractional divided differences and fractional difference operators, and present a generalized Hermite-Genocchi formula. This formula then allows the definition of a larger class of fractional B-splines.
divided differences fractional b-splines hermite-genocchi formula difference operators