On the Method of Multiplier-enlargement and Approximation of Unbounded Continuous Functions  

作　　者：郑成德 王仁宏 

出　　处：《Northeastern Mathematical Journal》2001年第2期231-235,共5页东北数学（英文版）

摘　　要：By combining the classical appropriate functions “1, x, x 2” with the method of multiplier enlargement, this paper establishes a theorem to approximate any unbounded continuous functions with modified positive linear operators. As an example, Hermite Fejér interpolation polynomial operators are analysed and studied, and a general conclusion is obtained.By combining the classical appropriate functions “1, x, x 2” with the method of multiplier enlargement, this paper establishes a theorem to approximate any unbounded continuous functions with modified positive linear operators. As an example, Hermite Fejér interpolation polynomial operators are analysed and studied, and a general conclusion is obtained.

关 键 词：positive linear operator approximation of unbounded continuous function method of multiplier  enlargement Hermite  Fejér interpolation polynomial operator 

分 类 号：O174.5[理学—数学]