%0 Journal Article
%T THE POSITIVITY AND CONVEXITY FOR BERNSTEIN POLYNOMIALS OVER TRIANGLES<br>三角域上Bernstein多项式的正性与凸性
%A 周建伟
%J 计算数学
%D 1986
%I 
%X Explicit expressions of the coefficients of degree elevation of any order for theBernstein polynomial over triangles are presented. Based on these expressions, a ne-cessary and sufficient condition for the positivity of the polynomial and a similar con-dition for its strong convexity are established.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=01CEEB904E05CD96A5D7EE8A9A1B570F&yid=4E65715CCF57055A&vid=5D311CA918CA9A03&iid=0B39A22176CE99FB&sid=D46BA3D3D4B3C585&eid=6235172E4DDBA109&journal_id=0254-7791&journal_name=计算数学&referenced_num=1&reference_num=0