An efficient algorithm for periodic Hermite spline interpolation with shifted nodes (Q1315184)

This paper considers the problem of generalized Hermite spline interpolation with periodic splines of defect 2 on an equidistant lattice. By means of a new generalization of Euler-Frobenius polynomials, a simple representation of the fundamental splines is given. Furthermore, an efficient algorithm is obtained for the computation of the Hermite spline interpolant. As a special case the classic periodic Hermite spline interpolation with shifted interpolation nodes is obtained as well.