L^p空间Kantorovich型Bernstein-Stancu算子的逼近  

Approximation by Kantorovich type Bernstein-Stancu operators in L^p space

作　　者：李国成[1] 王美玲[2] 

机构地区：[1]杭州科技职业技术学院公共教学部,浙江杭州311402 [2]杭州师范大学数学系,浙江杭州310036

出　　处：《浙江大学学报（理学版）》2015年第4期403-407,473,共6页Journal of Zhejiang University（Science Edition）

摘　　要：研究了一种由ICZ引进的Kantorovich型Bernstein-Stancu算子在Lp空间的逼近性质,建立了其逼近的正、逆定理.所得结论推广了经典Kantorovich型Bernstein算子的相关结论.The approximation properties of a Kantorovich type Bernstein-Stancu operator introduced by ICZ are investigated.Both of the direct and converse results of approximation by the operators are obtained,which can be regarded as the generalizations of the related theorems about the classical Kantorovich type Bernstein operators.

关 键 词：Kantorovich型Bernstein-Stancu算子 L^P空间 正定理 逆定理 

分 类 号：O174.41[理学—数学]