关于无界连续函数逼近

数学季刊 ›› 2003, Vol. 18 ›› Issue (1): 44-48.

关于无界连续函数逼近

Department of Basic Science, Dalian Railway Institute,Dalian 116028,China;2.Institute of Mathematics, Dalian University of Technology, Dalian 116024,Chin

收稿日期:2001-05-15 出版日期:2003-03-30 发布日期:2024-04-22
作者简介:ZHENG Cheng-de（1966－）,male ,native of Linyi ,Shandong ,an associate professor of Dalian Railway Insti- tute ,M．S．D．,engages in approximation theory；WANG Ren-hong（1937－）,male ,native of Nanchang ,Jiangxi ,a professor of Dalian University of Technology ,engages in approximation theory and computation geometry .

On Approximation of Nonbounded Continuous Functions

Department of Basic Science, Dalian Railway Institute,Dalian 116028,China;2.Institute of Mathematics, Dalian University of Technology, Dalian 116024,Chin

Received:2001-05-15 Online:2003-03-30 Published:2024-04-22
About author:ZHENG Cheng-de（1966－）,male ,native of Linyi ,Shandong ,an associate professor of Dalian Railway Insti- tute ,M．S．D．,engages in approximation theory；WANG Ren-hong（1937－）,male ,native of Nanchang ,Jiangxi ,a professor of Dalian University of Technology ,engages in approximation theory and computation geometry .

摘要/Abstract

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 poly - nomial operators are analysed and studied．This paper gives a certain theorem as a general rule to ap- proximate any nonbounded continuous functions .

关键词: positive linear operator, approximation of nonbounded continuous function, method of mul- tiplier-enlargement , Bernstein polynomial operator

Abstract: 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 poly - nomial operators are analysed and studied．This paper gives a certain theorem as a general rule to ap- proximate any nonbounded continuous functions .

Key words: positive linear operator, approximation of nonbounded continuous function, method of mul- tiplier-enlargement , Bernstein polynomial operator

中图分类号:

O174．41

郑成德, 王仁宏. 关于无界连续函数逼近[J]. 数学季刊, 2003, 18(1): 44-48.

ZHENG Cheng-de, WANG Ren-hong. On Approximation of Nonbounded Continuous Functions[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(1): 44-48.