%0 Journal Article
%T ON SPLINE INTERPOLATION FOR MONOTONE SMOOTH FUNCTION<br>单调光滑函数的样条插值
%A 文涛
%J 计算数学
%D 1981
%I 
%X In this paper, we obtain a necessary and sufficient condition for the existence ofmonotone cubic Spline interpolant. For the monotone smooth function, we suggest ageneral interpolation, i.e., establishing the cubic pseudo-Hermite interpolant and beingmatched with the technique of smoothing piecewise linear function with integration.Finally the error bound for the given interpolation is estimated. The error bound withO(h~3) holds.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=FFDE3232CAC15CFBBE6A3B342A9DEB6D&yid=AA64127AB7DEB65D&vid=38B194292C032A66&iid=0B39A22176CE99FB&sid=475189FCB44F11F6&eid=70AC2EF7F2065E09&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=0