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| 一类奇异积分算子与无界连续函数逼近 | |
| 引用本文： | 郑成德.一类奇异积分算子与无界连续函数逼近[J].大连交通大学学报,2000,21(4):1-4. |
| 作者姓名： | 郑成德 |
| 作者单位： | 大连铁道学院文理分院，辽宁大连 116028 |
| 摘 要： | 利用扩展乘数法建立了Мцракъян算子逼近全实轴上任意无界连续函数的收敛性定理，给出了具有一般性的结论，从而推广了前人的若干重要定理． |
| 关 键 词： | 线性正算子 无界函数逼近 扩展乘数法 一致收敛 linear positive operators approximation of unbounded functions method of multiplier-enlargement |
| 文章编号： | 1000-1670(2000)04-0001-04 |
| 修稿时间： | 2000年3月8日 |
On Мцракьян Integral Operators and Approximation of Unbounded Continous Functions |
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| ZHENG Cheng-de.On Мцракьян Integral Operators and Approximation of Unbounded Continous Functions[J].Journal of Dalian Jiaotong University,2000,21(4):1-4. | |
| Authors: | ZHENG Cheng-de |
| Abstract: | By using the method of multiplier-enlargement, establishes many convergencetheorems of Мцракьян integral operators to approximate any unbounded continuous functionsdefined on whole real axis, and gives general conclusions, therefore generalizes many importanttheroems of reference 3 ]. |
| Keywords: | linear positive operators approximation of unbounded functions method of multiplier-enlargement uniform convergence |
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