Мираквян奇异积分算子与无界连续函数逼近  

Мираквян SINGULAR INTEGRAL OPERATORS AND APPROXIMATION OF UNBOUNDED CONTINUOUS FUNCTIONS

作　　者：郑成德[1] 王仁宏[2] 

机构地区：[1]大连铁道学院数学教研室,大连116028 [2]大连理工大学数学研究所,大连116024

出　　处：《高等学校计算数学学报》2001年第2期97-100,共4页Numerical Mathematics A Journal of Chinese Universities

摘　　要：By applying the classical appropriate functions 1,x,x 2 to the method of multiplier enlargement, this paper established a certain theorem to approximate any unbounded continuous functions by modified positive linear operators. As an example, Мираквян singular integral operators are analysed and studied, and a general conclusion has been reached.By applying the classical appropriate functions 1,x,x 2 to the method of multiplier enlargement, this paper established a certain theorem to approximate any unbounded continuous functions by modified positive linear operators. As an example, Мираквян singular integral operators are analysed and studied, and a general conclusion has been reached.

关 键 词：线性正算子 无界连续函数逼近 奇异积分算子 扩展乘数法 收敛性定理 试探函数 

分 类 号：O174.41[理学—数学]