一类推广的Bernstein-Kantorovich算子在B_α空间中加权逼近的等价定理  

Equivalent theorem of weighted approximation for a kind of generalized Bernstein-Kantorovich operators in B_α spaces

作　　者：韩宗贤[1] 孙渭滨[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《山东大学学报（理学版）》2011年第4期93-97,共5页Journal of Shandong University(Natural Science)

基　　金：宁夏高等学校科研基金资助项目(004M33)

摘　　要：研究在Bα空间中一类推广的Bernstein-Kantorovich算子Ln(f,sn,x)的逼近性质,利用Ditzian-Totik光滑模ωφ2(f,t)Bα给出了算子Ln(f,sn,x)的逼近正定理及Steckin-Marchaud不等式。Some approximate properties is studied by a kind of generalized Bemstein-Kantorovich operatorsLn（f,sn,x）defined in B. spaces. Using the Dizian-Totik modu/i of smoothness ωφ2（f,t）Bα , direct theorems and Steckin-Marchaud inequalities on operators Ln（f,sn,x） are obtained.

关 键 词：BΑ空间 一类推广的Bernstein-Kantorovich算子 逼近 正定理 加权光滑模 Steckin-Marchaud不等式 

分 类 号：O174.41[理学—数学]