Rp. Agarwal et Pjy. Wong, EXPLICIT ERROR-BOUNDS FOR THE DERIVATIVES OF PIECEWISE-HERMITE INTERPOLATION IN L2-NORM, Mathematical and computer modelling, 19(1), 1994, pp. 21-30
The purpose of this paper is to provide explicit error bounds for the
derivatives of piecewise-Hermite interpolates in L2-norm. These bounds
improve on those given by Schultz [1], and extend to cases not consid
ered by him.