%0 Journal Article %T ON THE LOCAL PROPERTY OF CUBIC INTERPOLATION SPLINE
关于三次插值样条函数的局部性质 %A 贾荣庆 %J 计算数学 %D 1979 %I %X 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. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=111A4C15FD455FC5&yid=8C8371356FB4C85C&vid=CA4FD0336C81A37A&iid=E158A972A605785F&sid=0954045FA0C6885F&eid=F7496043B4F12D75&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=0