角形域上二维Bernstein算子的一致逼近定理  

Uniform Approximation by Two Dimensional Bernstein Operators

作　　者：宋儒瑛[1] 王坚勇[1] 

机构地区：[1]厦门大学数学系,厦门361005

出　　处：《厦门大学学报（自然科学版）》1999年第5期783-786,共4页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金

摘　　要：A two dimensional Bernstein operators on C(S) is given by B n(f;x,y)=nk=0kj=0f(jn,kn)P n,k,j (x,y) where S{(x,y)｜0≤x≤y≤1},f∈C(S),P n,k,j (x,y)=n kk jx j(y-x) k-j (1-y) n-k and the aproximation equivalence theorem is obtained.A two dimensional Bernstein operators on C(S) is given by B n(f;x,y)=nk=0kj=0f(jn,kn)P n,k,j (x,y) where S{(x,y)｜0≤x≤y≤1},f∈C(S),P n,k,j (x,y)=n kk jx j(y-x) k-j (1-y) n-k and the aproximation equivalence theorem is obtained.

关 键 词：角形域 BERNSTEIN算子 一致逼近定理 

分 类 号：O174.41[理学—数学]