修正的Bernstein-Durrmeyer算子的同时逼近(英文)

Simultaneous Approximation by Modified Bernstein-Durrmeyer Operators

中文关键词:  修正的Bernstein-Durrmeyer算子  同时逼近  正定理  逆定理

英文关键词:Modified Bernstein-Durrmeyer operators  simultaneous approximation  direct theorem  converse theorem.

中文摘要:

      本文的目的是证明修正的Bernstein-Durrmeyer算子同时逼近的正逆定理,在点态意义下,我们得到了一个同时逼近的等价特征刻画。

英文摘要:

      The aim of the present paper is to prove direct and converse results for simultaneous approximation by modified Bernstein-Durrmeyer operators. A point-wise equivalence characterization of simultaneous approximation is obtained.