%0 Journal Article
%T A SIMPLE PROOF OF ITERATED LIMIT FOR VARIATION DIMINISHING OPERATOR OF SPLINE FUNCTIONS<br>样条变差缩减算子迭代极限的一个简单证明
%A FENG YUYU
%A CHANG GENGZHE
%A <br>冯玉瑜
%A 常庚哲
%J 系统科学与数学
%D 1984
%I 
%X The iterated limit for the variation diminishing operator of spline functions was de-termined by Hu and Xu by using the related results of Markov chain.In this paper,bythe method used in3],not only the proofs in1]and2]are considerably simplified,but also the convergence rate of the iterated limit is given.Furthermore,the error esti-mate given here for the cubic spline on a uniform partition in a certain sense is the best.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=FBE9EB614C800C71595DD2777CA16F04&yid=36250D1D6BDC99BD&vid=E158A972A605785F&iid=38B194292C032A66&sid=31611641D4BB139F&eid=9D453329DCCABB94&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=1&reference_num=0