| 一类插值多项式算子与无界函数逼近 |
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| 引用本文： | 郑成德,王仁宏.一类插值多项式算子与无界函数逼近[J].应用数学与计算数学学报,2000,14(1):84-88. |
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| 作者姓名： | 郑成德 王仁宏 |
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| 作者单位： | 1. 大连铁道学院数学教研室,大连,116028
2. 大连理工大学数学研究所,大连,116028 |
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| 摘 要： | 将经典“试探函数组”1，x,x^2应用于扩展乘数法，建立了一个判别线性正算子能否改造为逼近任何无界连续函数的充要条件。利用该条件给出了一类变形的插值多项式算子的收敛性定理，得到了具有一般性的结论。
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| 关 键 词： | 线性正算子 逼近 无界连续函数 扩展乘数法 插值多项式算子 |
| 修稿时间： | 1999年3月9日 |
A Class of Interpolation Polynomial Operators and Approximation of Unbounded Continuous Functions |
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| CHENGDE ZHENG,RENHONG WANG.A Class of Interpolation Polynomial Operators and Approximation of Unbounded Continuous Functions[J].Communication on Applied Mathematics and Computation,2000,14(1):84-88. |
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| Authors: | CHENGDE ZHENG RENHONG WANG |
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| Abstract: | By applying the classical appropriate functions 1, x x2 to the method of multiplier- enlargement, this paper established a certain theorem to approximate any unbounded continuous functions by modified positive linear operators. As an example, a class of interpo-lation polynomial operators are analysed and studied, and a general conclusion has been reached. |
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| Keywords: | positive linear operators approximation unbounded continuous functions method of multiplier-enlargement interpolation polynomial operators P |
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