| 修正的Baskakov型算子的点态逼近性质 |
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| 引用本文： | 王绍钦,王平华. 修正的Baskakov型算子的点态逼近性质[J]. 泉州师范学院学报, 2004, 22(6): 23-27 |
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| 作者姓名： | 王绍钦 王平华 |
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| 作者单位： | 1. 解放军外国语学院七系,河南,洛阳,471003
2. 泉州师范学院,数学系,福建,泉州,362000 |
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| 摘 要： | 在Gupta和Arys所研究的修正的Baskakov型算子Bn(f,x)关于有界变差函数的逼近性质的基础上．利用构造度量函数等方法,进一步讨论了算子到Bn(f,x)关于局部有界函数的点态逼近性质,不仅拓广了所研究的函数类．并且得到其收敛阶的更精确的估计．
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| 关 键 词： | 修正的Baskakov型算子 逼近性质 局部有界函数 Lebesgue--Stieltjes积分 |
| 文章编号： | 1009-8224(2004)06-0023-05 |
| 修稿时间： | 2004-07-05 |
Pointwise Approximation by Modified Baskakov Type Operators |
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| WANG Shao-qin,WANG Ping-hua. Pointwise Approximation by Modified Baskakov Type Operators[J]. Journal of Quanzhou Normal College, 2004, 22(6): 23-27 |
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| Authors: | WANG Shao-qin WANG Ping-hua |
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| Affiliation: | WANG Shao-qin~1,WANG Ping-hua~2 |
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| Abstract: | On the basis of approximation of modified Baskakov type operators B_n for the bounded variation functions by Gupta and Arys,using the technique of constructing metric function to study the pointwise approximation of the operators B_n for locally bounded functions.the result extends the class of function that be studied and gets more exact estimation for its rate of convergence. |
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| Keywords: | modified Baskakov type operator approximation property locally bounded (functions )Lebesgue-Stieltjes integral |
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