| 关于富氏级数收敛定理的一个证明 |
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| 引用本文： | 官建立.关于富氏级数收敛定理的一个证明[J].西安科技大学学报,1990(1). |
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| 作者姓名： | 官建立 |
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| 作者单位： | 西安矿业学院基础部 |
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| 摘 要： | 本文由黎曼-勒伯格可积定理,对于任何可积函数在任一点可积仅仅依赖于函数在这点邻域内的值,以及单调,有界函数的积分性质,通过极限的方法,提出了证明富氏收敛定理充分条件的一种方法。
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| 关 键 词： | 黎曼-勒伯格可积定理 充分条件 富氏级数 |
A PROOF OF CONVERGENT THEOREM OF FOURIER SERIES |
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| Guan Jianli.A PROOF OF CONVERGENT THEOREM OF FOURIER SERIES[J].JOurnal of XI’an University of Science and Technology,1990(1). |
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| Authors: | Guan Jianli |
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| Institution: | Guan Jianli |
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| Abstract: | According to the Reimann_Lebesgue integrable theorem, a method to prove the sufficient conditions of convergent theorem of Fourier series is presented corresponding to any integrable function at any point only depending on the values of function in the neighborhood of this point and the integral property of monotonic and bounded function and by means of limiting method. |
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| Keywords: | Reimann_Lebesgue integrable theorem Fourier series sufficient condition |
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