关于多元无界连续函数逼近的渐近估计  

On the asymptotic formulae of approximation of multivariate unbounded continuous functions

作　　者：石磊[1] 徐志敏[2] 

机构地区：[1]大连交通大学软件学院,辽宁大连116028 [2]大连交通大学信息工程学院,辽宁大连116028

出　　处：《纺织高校基础科学学报》2010年第2期202-205,共4页Basic Sciences Journal of Textile Universities

摘　　要：讨论了多元无界连续函数逼近的渐近估计.利用扩展乘数法讨论了多元线性正算子改造为逼近多元无界连续函数的渐近估计,给出了具有一般性的较为实用的渐近公式.作为实例,研究了多元非乘积型的Landau多项式算子逼近多元无界连续函数的渐近估计式,推广了前人的若干结论.The asymptotic formulae of approximation of multivariate unbounded continuous functions is studied.By using the method of multiplier-enlargement,the asymptotic estimation of approximation of multivariate unbounded continuous functions with positive linear operators is discussed,and general asymptotic formulae is given.As an example,the asymptotic formulae of approximation of multivariate unbounded continuous functions with Landau operators are discussed,and therefore some conclusions of professor Hsu Lizhi are generalized.

关 键 词：线性正算子 无界函数逼近 渐近估计 扩展乘数法 

分 类 号：O174.41[理学—数学]