摘要
修正的Bernstein-Durrmeyer算子既具有一些与Bernstein算子相似的性质,同时也具有Bernstein-Durrmeyer算子的一些性质.研究了修正的Bernstein-Durrmeyer算子的特性,得到相应原函数的单调性、凸性、Hw类的保持性质.所得结果类似于所对应的Bernstein算子的结果.
The modified Bernstein-Durrmeyer operators have some properties which are similar to the operators of either Bernstein or Bernstein-Durrmeyer.The properties of the modified Bernstein-Durrmeyer operators are studied,and the properties related to monotonicity and concavity and class Hw which are preserved by the modified Bernstein type operators are obtained.The obtained results are similar to the corresponding ones of the Bernstein operators.
出处
《石家庄学院学报》
2005年第3期14-16,共3页
Journal of Shijiazhuang University
