一类推广的Bernstein-Kantorovich算子在B_α空间中加权逼近的等价定理

Equivalent theorem of weighted approximation for a kind of generalized Bernstein-Kantorovich operators in B_α spaces

研究在Bα空间中一类推广的Bernstein-Kantorovich算子Ln(f,sn,x)的逼近性质,利用Ditzian-Totik光滑模ωφ2(f,t)Bα给出了算子Ln(f,sn,x)的逼近正定理及Steckin-Marchaud不等式。

Some approximate properties is studied by a kind of generalized Bemstein-Kantorovich operatorsLn（f,sn,x）defined in B. spaces. Using the Dizian-Totik modu/i of smoothness ωφ2（f,t）Bα , direct theorems and Steckin-Marchaud inequalities on operators Ln（f,sn,x） are obtained.