修正本征Bernstein-Durrmeyer型算子的逼近

Approximation of a New Type of Genuine Bernstein-Durrmeyer Operators

引入了一种与端点处函数值无关的新的修正本征Bernstein-Durrmeyer型算子U*n(f,x),并建立了U*n(f,x)对连续函数逼近的正定理和Voronovaskaja型估计.

A new type of genuine Bernstein-Durrmeyer operators U*n(f,x),which was independent of the values at endpoints of the objective function,was introduced in the present paper.Furthermore,both of the direct theorem and Voronovaskaja's asymptotic estimate were established.