| Chebyshev-Fourier级数部分和逼近单调型连续函数的误差估计 |
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| 引用本文： | 李稚华,俞国华.Chebyshev-Fourier级数部分和逼近单调型连续函数的误差估计[J].宁波大学学报(理工版),2000,13(1):62-65. |
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| 作者姓名： | 李稚华 俞国华 |
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| 作者单位： | 1. 上海医药学校，上海 200135
2. 宁波大学数学系，浙江 宁波 315211 |
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| 摘 要： | 研究了用Chebyshev级数部分和逼近单调型连续函数，得到了逼近的误差估计，并提出了3个问题，这3个问题的核心就是估计式中的因子“logn”能否去掉。
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| 关 键 词： | CHEBYSHEV－FOURIER级数 部分和 逼近 误差估计 单调型连续函数 LOGN因子 逼近阶 |
| 文章编号： | 1001-5132(2000)01-0062-04 |
| 修稿时间： | 1999年4月13日 |
An Error Estimate of Approximation for Monotonic Type Continuous Functions by the Partial Stuns of C-F Series |
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| LI Zhi-hua,YU Guo-hua.An Error Estimate of Approximation for Monotonic Type Continuous Functions by the Partial Stuns of C-F Series[J].Journal of Ningbo University(Natural Science and Engineering Edition),2000,13(1):62-65. |
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| Authors: | LI Zhi-hua YU Guo-hua |
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| Abstract: | The appoximation for continuous functions of monotonic type by the partial sums of Chebyshev-Fourier series has been investigated. An eromr estimate of the approximation is obtained. At the end three questions are raised, and it is the core of three quetihons that whether logn could be removed from some estimate expressions. |
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| Keywords: | Chebyshev-Fourier series partial sum function of monotonic type continuous function approximation error estimate |
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