| 一类Baskakov型算子对p次有界变差函数的点态逼近 |
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| 引用本文： | 刘生贵,薛银川.一类Baskakov型算子对p次有界变差函数的点态逼近[J].河南师范大学学报(自然科学版),2008,36(1):23-25. |
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| 作者姓名： | 刘生贵 薛银川 |
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| 作者单位： | 1. 嘉应学院,数学系,广东,梅州,514015
2. 宁夏大学,数学计算机学院,银川,750021 |
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| 基金项目： | 宁夏大学校科研和教改项目 |
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| 摘 要： | 运用概率论的一些方法和结论以及Abel变换,研究了一类极限为Gamma算子的Baskakov型算子对p次有界变差函数的逼近,得到了对该函数类的点态逼近度估计的逼近定理.
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| 关 键 词： | Baskakov型算子 点态逼近 p次有界变差函数 |
| 文章编号： | 1000-2367（2008）01-0023-03 |
| 收稿时间： | 2006-12-23 |
| 修稿时间： | 2006年12月23 |
Pointwise Approximation of a Baskakov Type Operators for Functions of Bounded Variation of Order p |
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| LIU Sheng-gui,XUE Yin-chuan.Pointwise Approximation of a Baskakov Type Operators for Functions of Bounded Variation of Order p[J].Journal of Henan Normal University(Natural Science),2008,36(1):23-25. |
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| Authors: | LIU Sheng-gui XUE Yin-chuan |
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| Abstract: | Using some results and methods of probability theory and Abel transformation, the paper has studied the approximation of a Baskakov type operators whose limits are Gamma operator for functions of bounded variation of order p, and the pointwise convergence theorem of these operstors are obtained. |
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| Keywords: | Baskakov type operators pointwise approximation functions of bounded variation of order p |
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