%0 Journal Article
%T SOME RESULTS ON MULTIVARIATE POLYNOMIAL APPROXIMATIONS<br>关于多元多项式逼近的一些结果
%A Liu Yingfan
%A <br>刘颖范
%J 系统科学与数学
%D 1997
%I 
%X This paper realizes first the multivariate algebraic and triangular polynomial approximations on $C(-\pi,\pi]^m\times -a,a]^k)$ with some general integral-type positive linearoperator. Then constructing certain specific product kernels, we have obtained the Rogosinski-type theorem of $m$dimensional triangular approximation on $C(-\pi,\pi]^m)$, and the Timan-type theorem of $k$-dimensional algebraic polynomial approximation on $C^r(-1,1]^k)$
%K C-norm approximation
%K pointwise approximation
%K continuous module
%K secondorder continuous module<br>C-范数逼近
%K 点态逼近
%K 连续模
%K 二阶连续模
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=1CE3913EAF984AD4F31528840D2DF037&yid=5370399DC954B911&vid=BCA2697F357F2001&iid=0B39A22176CE99FB&sid=50BBDFAC8381694B&eid=C29816B2656377A7&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=1&reference_num=0