Миракъян积分算子与无界函数逼近  

Миракъян Singular Integral Operators and Approximation of Unbounded Continuous Functions

作　　者：郑成德[1] 

机构地区：[1]大连铁道学院数学教研室,辽宁大连116028

出　　处：《辽宁大学学报（自然科学版）》2000年第4期295-298,共4页Journal of Liaoning University：Natural Sciences Edition

摘　　要：在扩展乘数法中引入经典“试探函数”组 1 ,x ,x2 ,构造了一个线性正算子改造为逼近任意无界连续函数的判别定理 .利用该定理建立了变形的Миракъян奇异积分算子的收敛性定理 。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, Миракъян singular integral operators are analysed and studied, and a general conclusion has been reached.

关 键 词：无界函数逼近 扩展乘数法 

分 类 号：O174.41[理学—数学]