On Approximation of Nonbounded Continuous Functions  

作　　者：ZHENGCheng-de WANGRen-hong 

机构地区：[1]DepartmentofBasicScience,DalianRailwayInstitute,Dalian116028,China [2]InstituteofMathemat-ics,DalianUniversityofTechnology,Dalian116024,China

出　　处：《Chinese Quarterly Journal of Mathematics》2003年第1期44-48,共5页数学季刊（英文版）

摘　　要：This paper generalizes the basic principle of multiplier-enlargement approach to approximating any nonbounded continuous functions with positive linear operators, and as an example, Bernstein polynomial operators are analysed and studied. This paper gives a certain theorem as a general rule to approximate any nonbounded continuous functions.

关 键 词：positive linear operator approximation of nonbounded continuous function method of multiplier-enlargement Bernstein polynomial operator 

分 类 号：O174.41[理学—数学]