Bernstein-Durrmeyer算子在光滑保持性中的最佳常数(英文)

Best Constant in Preservation of Smoothness for Bernstein-Durrmeyer Operators

本文提出了Bernstein-Durrmeyer算子的一种概率表示,并由此证明了BernsteinDurrmeyer算子较Bernstein算子有更佳的保光滑常数.

In this note,we present a probabilistic expression of Bernstein-Durrmeyer operators,and with aid of which we show that Bernstein-Durrmeyer operators have a better constant in preservation of smoothness than Bernstein operators.