A two dimensional Bernstein operators on C(S) is given by B n(f;x,y)=nk=0kj=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 the...A two dimensional Bernstein operators on C(S) is given by B n(f;x,y)=nk=0kj=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.展开更多
文摘A two dimensional Bernstein operators on C(S) is given by B n(f;x,y)=nk=0kj=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.
