| 函数的Fourier级数展开 |
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| 引用本文： | 刘杰民,刘金堂.函数的Fourier级数展开[J].沈阳航空工业学院学报,2004,21(5):87-89. |
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| 作者姓名： | 刘杰民 刘金堂 |
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| 作者单位： | 沈阳航空工业学院航空宇航工程学院,辽宁,沈阳,110034 |
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| 摘 要： | 探讨了把定义在区域-l，l]上的任意可积函数展成Fourier级数的各种形式并示以典型的算例。结果表明函数各种以无穷Fourier级数表达的展式是等价的。然而，以有限和形式表达的各种展式的精度有差别。因此，当把一个函数展成Fourier级数时，既要考虑可能的展开形式，又要考虑展开式的精度，力求二者之间的最佳选择。
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| 关 键 词： | 函数 Fourier级数 精度 |
| 文章编号： | 1007-1385(2004)05-0087-03 |
| 修稿时间： | 2004年7月13日 |
Functions developed formula of fourier series |
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| LIU Jiemin LIU Jintang.Functions developed formula of fourier series[J].Journal of Shenyang Institute of Aeronautical Engineering,2004,21(5):87-89. |
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| Authors: | LIU Jiemin LIU Jintang |
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| Abstract: | Variant developed formula of Fourier series about functions which are defined at field -l, l] are probed into and typical examples of which are shown. It is found that formula of Fourier series with infinite terms are equal. However, the formula with finite terms are different in precision. Therefore, when a function is developed into Fourier series, possible forms of developed formula and precision of them should be considered simultaneously for optimal selection. |
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| Keywords: | Functions Fourier series precision |
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