%0 Journal Article
%T Bernstein-Durrmeyer算子拟中插式在Orlicz空间中的逼近<br>APPROXIMATION BY BERNSTEIN-DURRMEYER QUASI-INTERPOLANTS IN ORLICZ SPACES
%A 作者
%A 韩领兄
%A 吴嘎日迪
%A 高会双
%J 数学杂志
%D 2017
%X 本文在Orlicz空间中研究了Bernstein-Durrmeyer算子拟中插式Bn（2r-1）（f，x）逼近性质.利用2r阶Ditzian-Totik模与K-泛函的等价性，Jensen不等式，H？lder不等式，Berens-Lorentz引理得到了逼近的正，逆和等价定理，从而推广了Bernstein-Durrmeyer算子拟中插式Bn（2r-1）（f，x）在LP空间的逼近结果.<br>In the present paper, we will study the approximation property of the BernsteinDurrmeyer quasi-interpolants Bn(2r-1)(f,x) in Orlicz space. By using the 2r-th Ditzian-Totik modulus of smoothness, Jensen inequality, H？lder inequality and Berens-Lorentz lemma, we obtain the direct, inverse and equivalence theorems, which generalize the approximation results of the Bernstein-Durrmeyer quasi-interpolants Bn(2r-1)(f,x) in LP space
%K Bernstein-Durrmeyer算子 Ditzian-Totik模 正逆定理 Orlicz空间&lt
%K br&gt
%K Bernstein-Durrmeyer operators Ditzian-Totik modulus direct inverse theorem Orlicz space
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170306&flag=1