扩展乘数法与多元无界函数逼近的渐近估计  

The Method of Multiplier-enlargement and the Asymptotic Formulae of Approximation of Multivariate Unbounded Continuous Functions

作　　者：尹德松[1] 郑成德[2] 

机构地区：[1]大连铁道学院计算中心,辽宁大连116028 [2]大连铁道学院文理分院,辽宁大连116028

出　　处：《怀化学院学报》2002年第5期6-8,共3页Journal of Huaihua University

摘　　要：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 。By using of the method of multiplier-enlargement,this paper discusses the asymptotic estimation of approximation of multivariate unbounded continuous functions with positive linear operators,and gives general asymptotic formulae.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]