一类二元非乘积型Meyer-knig and Zeller概率算子列的极限及逼近  

Limits and Approximation of A Two-dimensional Non-product Type Meyer-knig and Zeller Type Probability Operators

作　　者：刘生贵[1] 

机构地区：[1]嘉应学院数学系,广东梅州514015

出　　处：《宁夏大学学报（自然科学版）》2011年第2期105-108,115,共5页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11001107)

摘　　要：用概率方法定义了一类二元非乘积型Meyer-knig and Zeller概率算子,综合运用逼近论和概率论的知识讨论了该算子列的极限,并利用多元分解技巧得到了该算子一致逼近的定理.Using the methods of probability,a two-dimensional non-product type Meyer-knig and Zeller probabilistic operators are introduced.Combining probability and approximation,the limits of these operators are studied.Based on decomposition technique for multidimensional operators,the operators have been decomposed successfully into composities of one-dimensional corresponding operators,and the uniform approximation theorem is obtained.

关 键 词：非乘积型Meyer-knig and Zeller概率算子 概率 极限 逼近 

分 类 号：O174.41[理学—数学]