摘要
利用扩展乘数法讨论了高维欧氏空间上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，推广了前人的若干结论．
By using of the method of multiplier-enlargement, discusses the asymptotic estimation of approximation for unbounded continuous functions of several variables by linear positive operators defined on k-dimensional Euclidean space, and gives general asymptotic formulae. As an example, discusses the asymptotic formulae of approximation for unbounded functions with Landau linear positive operators for several variables and generalizes some conclusions of reference[2].
出处
《大连铁道学院学报》
2001年第3期12-14,共3页
Journal of Dalian Railway Institute
关键词
线性正算子
无界函数逼近
渐近估计
扩展乘数法
高维欧氏空间
positive linear operators
approximation of unbounded functions
asymptotic formulae
method of multiplier-enlargement
