关于МамелоВ算子与无界函数逼近  

On МамелоВ Operators and Approximation of Unbounded Continuous Functions

作　　者：郑成德[1] 

机构地区：[1]大连铁道学院,辽宁大连116028

出　　处：《辽宁工学院学报》2003年第1期69-70,共2页Journal of Liaoning Institute of Technology(Natural Science Edition)

摘　　要：利用扩展乘数法建立了МамелоВ算子逼近全实轴上任意无界连续函数的收敛性定理,给出了具有一般性的结论,从而推广了前人的若干重要定理。By using of the method of multiplierenlargement,the paper establishes many convergence theorems of МамелоВ operators to approximate any unbounded continuous functions defined on whole real axis,and gives general conclusions,therefore generalizes many important theorems of reference\+\{\}.

关 键 词：线性正算子 无界函数逼近 一致收敛 扩展乘数法 МамелоВ算子 收敛性定理 BANACH空间 

分 类 号：O174.41[理学—数学] O177[理学—基础数学]