International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 2, Pages 229-234
doi:10.1155/S0161171292000292

Interpolation by natural cubic spline

Abstract

From the result in [1] it follows that there is a unique quadratic spline which bounds the same area as that of the function. The matching of the area for the cubic spline does not follow from the corresponding result proved in [2]. We obtain cubic splines which preserve the area of the function.