| 用Newman型有理算子对|x|的逼近的渐近性质 |
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| 引用本文： | 谢庭藩,周颂平. 用Newman型有理算子对|x|的逼近的渐近性质[J]. 数学研究及应用, 2005, 25(1): 37-41 |
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| 作者姓名： | 谢庭藩 周颂平 |
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| 作者单位： | 1. 丽水师范学院数学系,浙江,丽水,323000;中国计量学院,浙江,杭州,310034
2. 浙江理工大学数学研究所,浙江,杭州,310018;宁波大学数学系,浙江,宁波,315211 |
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| 基金项目： | NNSFC(10471130)ZhejiangProvincialNaturalScienceFoundation |
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| 摘 要： | 设p(x)=∏k=1n=1((k/n)r z),0
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| 关 键 词： | 渐近性质 Newman型有理算子 逼近 |
| 收稿时间： | 2003-02-27 |
The Asymptotic Property of Approximation to |x| by Newman Type Rational Operators |
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| XIE Ting-fan and ZHOU Song-ping. The Asymptotic Property of Approximation to |x| by Newman Type Rational Operators[J]. Journal of Mathematical Research with Applications, 2005, 25(1): 37-41 |
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| Authors: | XIE Ting-fan and ZHOU Song-ping |
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| Affiliation: | Dept. of Math., Lishui Teachers' College, Zhejiang 323000, China; China Institute of Metrology, Hangzhou 310034, China;Inst. of Math., Zhejiang Sci-Tech University, Hangzhou 310018, China; 4. Inst. of Math., Ningbo University, Zhejiang 315211, China |
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| Abstract: | Let p(x) = Пn-1k=1 ((k/n)r+ x), 0 ＜ r(≤)1, Hn,r(x) = xp(x)-p(-x)p(x)+p(-x) The present note gives the asymptotic formula of max |x|-|x|(≤)1 Hn,r(x)|. |
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| Keywords: | asymptotic property Newman rational operator approximation |
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