Bernstein-Kantorovich算子的线性组合在L_M^(Ba)空间内的逼近

Approximation by linear combinations of Bernstein-Kantorovich operators in L_M^(Ba) space

目的讨论Bernstein-Kantorovich算子线性组合在LBMa空间中的逼近问题。方法利用了光滑模和K-泛函等工具。结果对Bernstein-Kantorovich算子线性组合的范数等进行讨论,得到相关性质。结论得到了Bernstein-Kantorovich算子线性组合在LBMa空间中的正逆定理。

Objective--To study the approximation problem of linear combinations Bernstein-Kan-torovich Operators in LM^Ba space. Method--K-functional and modulus of smoothness and others are used. Result--Through talking about the norm of Bernstein-Kantorovich operators, some kinds of related properties are got. Conclusion--The direct and converse theorems of Bernstein-Kantorovich operators in LM^Ba space are obtained.