利用光滑模和K-泛函等工具,讨论了推广的Sikkema—Kantorovich算子在Orlicz空间中的逼近问题,得到了逼近阶的两种估计.
In this paper,the approximation problem of Sikkema-Kantorovich Operators in Orlicz spaces was studied by using K-functional and modulus of smoothness,and the two kinds estimation of degree of approximation was obtained. The Orlicz spaces is "bigger" than the Lp spaces, and the topological structure of the Orlicz spaces is more complex than the other spaces,we can say this paper has the significance of topology.