Durrmeyer-Bézier算子的收敛阶

On Rate of Convergence of Durrmeyer-Bézier Operaters

在Zeng等人对有界变差函数f的Durrmeyer-Bézier算子在区间(0,1)上收敛于(1/(α+1))f(x+)+(α/(α+1))f(x-)的收敛阶进行研究的基础上,对其所给的Durrmeyer-Bézier算子收敛阶估计结果作进一步的改进,得到更佳的收敛阶。

In this paper, we study the approximation of Durrmeyer-Bézier Operaters for functions of bounded variation and obtain a accurate estimation on the rate of convergence of this type which improves the result off Zeng by giving more exact rate of cenvergence.