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| 平移网络在Lp(Rk)中的逼近 | |
| 引用本文： | 盛宝怀,周颂平,李宏涛.平移网络在Lp(Rk)中的逼近[J].数学进展,2007,36(1):29-38. |
| 作者姓名： | 盛宝怀 周颂平 李宏涛 |
| 作者单位： | 1. 绍兴文理学院数学系,绍兴,浙江,312000 2. 浙江理工大学数学研究所,杭州,浙江,310018 3. 宝鸡文理学院数学系,宝鸡,陕西,721007 |
| 基金项目： | 国家自然科学基金;浙江省自然科学基金 |
| 摘 要： | 文章借助于Fourier变换给出了一种构造平移网络的方法．特别,构造出了一类平移网络序列,给出了其在L~P(R~k)空间中的逼近阶并且建立了一种Jackson型估计． |
| 关 键 词： | 整函数 平移算子 逼近 |
| 文章编号： | 1000-0917（2007）01-0029-10 |
| 收稿时间： | 2004-12-13 |
| 修稿时间： | 2005-07-21 |
On Approximation by Translation Networks in Lp(Rk)Spaces |
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| SHENG Baohuai,ZHOU Songping,LI Hongtao.On Approximation by Translation Networks in Lp(Rk)Spaces[J].Advances in Mathematics,2007,36(1):29-38. | |
| Authors: | SHENG Baohuai ZHOU Songping LI Hongtao |
| Institution: | 1. Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing, Zhejiang, 312000, P. R. China; 2. Institute of Mathematics, Zhejiang University of Sciences and Technology, Hangzhou, Zhe- jiang, 310018, P. R. China; 3. Department of Mathematics, Baoji College of Arts and Sciences, Baoji, Shaanxi, 721007, P. R. China |
| Abstract: | The present paper gives a way of constructing translation networks with the help of Fourier transforms.In particular,a kind of translation network sequence is con- structed,its order of approximation in L~P(R~k)space is obtained and a Jackson type estimate is established. |
| Keywords: | entire functions translation operator approximation |
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