Chinese Quarterly Journal of Mathematics ›› 2003, Vol. 18 ›› Issue (1): 44-48.

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On Approximation of Nonbounded Continuous Functions

  

  1. 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 .

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

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