| Jacobi-Fourier级数的Fejer和对连续函数的逼近 |
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| 引用本文： | 俞国华.Jacobi-Fourier级数的Fejer和对连续函数的逼近[J].宁波大学学报(理工版),2007,20(3):341-345. |
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| 作者姓名： | 俞国华 |
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| 作者单位： | 宁波大学,理学院,浙江,宁波,315211 |
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| 基金项目： | 国家自然科学基金
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湖南省教育厅资助项目 |
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| 摘 要： | 研究了Jacobi-Fourier级数的Fejer和σα,βn(f)对连续函数f逼近的点态估计,改进了李中凯有关的结果.
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| 关 键 词： | Jacobi-Fourier级数 Fejer和 连续函数 逼近 Jacobi-Fourier series Fejer sums continuous funtions approximation 级数 连续函数 逼近 Series Continuous improved results series pointwise estimates approximation continuous function 结果 改进 点态估计 研究 |
| 文章编号： | 1001-5132（2007）03-0341-05 |
| 修稿时间： | 2006-09-01 |
Approximation of Continuous Funtions Using Fejer Sums of Jacobi-Fourier Series |
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| YU Guo-hua.Approximation of Continuous Funtions Using Fejer Sums of Jacobi-Fourier Series[J].Journal of Ningbo University(Natural Science and Engineering Edition),2007,20(3):341-345. |
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| Authors: | YU Guo-hua |
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| Institution: | Faculty of Science, Ningbo University, Ningbo 3152 l l, China |
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| Abstract: | The pointwise estimates of approximation of continuous function f(x) by Fejer sums σα,βn(f,x) of its Jacobi-Fourier series have been investigated, which improved the results of Li Z K for points x = ±1. |
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| Keywords: | Jacobi-Fourier series Fejer sums continuous funtions approximation |
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