International Journal of Mathematics and Mathematical Sciences
Volume 10 (1987), Issue 1, Pages 63-67
doi:10.1155/S0161171287000085

Local behaviour of the derivative of a mid point cubic spline interpolator

H.P. Dikshit and S.S. Rana

Department of Mathematics and Computer Sciences, R.D. University, Jabalpur 482001, India

Abstract

In the present paper, we obtain an asymptotically precise estimate for the derivative of the difference between the cubic spline interpolating at the mid points of a uniform partition and the function interpolated.