广义Durrmeyer-Bézier算子在Orlicz空间中的逼近性质

On Approximation by Generalized Durrmeyer-Bézier Operator in Orlicz Spaces

引入K-泛函及连续模,讨论了广义Durrmeyer-Bézier算子Dn,α(f,x)(0<α<1,α≥1)在Orlicz空间中逼近价的估计以及收敛性问题,并得出相应的逼近定理.

With the K-function and modulus of continuity as the tool, we discusses the degree of approximation and convergence of generalized Durrmeyer- Bézier operator Dn,α （f, x） （0 〈 α〈1, α≥ 1 ） in Orlicz spaces,and obtain corresponding approximation theorems.