| 具有复O－正则拟单调系数的Fourier级数L~1－收敛 |
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| 引用本文： | 褚志仁.具有复O－正则拟单调系数的Fourier级数L~1－收敛[J].汕头大学学报(自然科学版),1995(1). |
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| 作者姓名： | 褚志仁 |
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| 作者单位： | 汕头大学数学系 |
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| 摘 要： | 本文把文［１］的一个具有复拟单调系数的Ｆｏｕｒｉｅｒ级数Ｌ１－收敛的充要条件推广到具有复Ｏ－正则拟单调系数的Ｆｏｕｒｉｅｒ级数上，所得的结果推广了文［１］和［５］的主要结论．
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| 关 键 词： | O－正则序列 复拟单词 Fourier级数 L~1－收敛 |
L￣1-convergence of Fourier series with complex O-regularly varying quasimonotone coefficients |
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| Chu Zhiren.L￣1-convergence of Fourier series with complex O-regularly varying quasimonotone coefficients[J].Journal of Shantou University(Natural Science Edition),1995(1). |
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| Authors: | Chu Zhiren |
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| Abstract: | In this article, the necessary and sufficient condition for L1 -convergence of Fourier series with complex quasimonotone coefficient presented in paper 1] by T. F.Xie is generalized to include Fourier series with complex O-regularly varying quasimonotone coefficients, thus expanding the main conclusions deduced in paper 1] and 5]. |
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| Keywords: | O-regularly varying sequence complex quasimonotone Fourier series L￣1-convergence |
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