| 高维欧氏空间上无界连续函数逼近的渐近公式 |
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| 引用本文： | 郑成德.高维欧氏空间上无界连续函数逼近的渐近公式[J].大连铁道学院学报,2001,22(3):12-14. |
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| 作者姓名： | 郑成德 |
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| 作者单位： | 大连铁道学院文理分院，辽宁大连116028 |
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| 摘 要： | 利用扩展乘数法讨论了高维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。
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| 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 |
The Asymptotic Formulae of Approximation of Unbounded Continuous Functions in K-dimensional Euclidean Space |
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| ZHENG Cheng-de.The Asymptotic Formulae of Approximation of Unbounded Continuous Functions in K-dimensional Euclidean Space[J].Journal of Dalian Railway Institute,2001,22(3):12-14. |
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| Authors: | ZHENG Cheng-de |
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| Abstract: | 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 reference2]. |
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| Keywords: | positive linear operators approximation of unbounded functions asymptotic formulae method of multiplier-enlargement |
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