扩展乘数法与无界函数逼近的渐近估计  

Multiplier-enlargement and Asymptotic Formulae of Approximation of Unbounded Continuous Functions

作　　者：郑成德[1] 李志斌[1] 

机构地区：[1]大连铁道学院文理分院,辽宁大连116028

出　　处：《辽宁工学院学报》2003年第5期65-67,共3页Journal of Liaoning Institute of Technology(Natural Science Edition)

摘　　要：利用扩展乘数法讨论了线性正算子改造为逼近无界连续函数的渐近估计,给出了具有一般性的渐近 公式。作为实例,研究了Landau积分型算子逼近无界函数的渐近估计式,推广了前人的若干结论。By using multiplier-enlargement,the asymptotic estimation of approximation of unbounded continous functions with positive linear operaters is discussed, with general asymptotic formulae given. As an example, the asymptotic 'formulae of approximation of unbounded continuous functions with landau operaters are studied,and therefore some conclusions made by antecedents are generalized.

关 键 词：扩展乘数法 无界函数逼近 渐近估计 线性正算子 不等式 

分 类 号：O174.41[理学—数学]