ON THE LOCAL PROPERTY OF CUBIC INTERPOLATION SPLINE
关于三次插值样条函数的局部性质

This article investigates the property of cubic interpolation spline under the ge-neral end conditions. In the case of that the local mesh ratio is less than 3+5~(1/2)]/2we obtain the local bounds of the derivative of the cubic interpolation spline, andwe have proved that when a function is locally continuous and the mesh length lo-cally converges to zero, the local convergence property of its cubic interpolationspline still holds.