Another approach to the quintic spline (Q752352)

In the literature, most of the end conditions for the spline functions are obtained from conditions imposed on the spline functions, its finite differences, and/or its derivatives near the two endpoints. Recently, \textit{G. Behforooz} [Appl. Math. Comput. 29, No.3, 231-244 (1989; Zbl 0671.41004)] has established a new class of end conditions for cubic spline by use of integration. In this paper his idea is extended to the case of quintic spline, and four end conditions are derived by use of integration.