二元非乘积型Lupas-Baskakov算子的极限及逼近性质  

Limits and approximation behavior of two-component non-product-type Lupas-Baskakov operators

作　　者：刘生贵[1] 

机构地区：[1]嘉应学院数学学院,广东梅州514015

出　　处：《兰州理工大学学报》2013年第3期151-154,共4页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11001107)

摘　　要：对于二元非乘积型Lupas-Baskakov算子,结合逼近论和概率论的知识讨论该算子的极限,运用多元算子分解技巧得到该算子逼近的Voronovskaja型展式.Using the knowledge of probability and approximation theories, the limits of two-dimensional non-product-type Lupas-Baskakov operators were discussed. And by means of decomposition technique for multicomponent operators, the Voronovskaja-type expansion of approximation was obtained.

关 键 词：二元非乘积型Lupas-Baskakov算子 概率 极限 逼近 

分 类 号：O174.41[理学—数学]