| 关于Fourier级数收敛性问题一个新条件的注记 |
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| 引用本文： | 赵德钧.关于Fourier级数收敛性问题一个新条件的注记[J].绍兴文理学院学报,2006,26(1):10-16. |
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| 作者姓名： | 赵德钧 |
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| 作者单位： | 绍兴文理学院数学系,浙江绍兴312000 |
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| 基金项目： | 浙江省自然科学基金资助项目（102002）,浙江省高校重点扶植学科基金资助课题. |
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| 摘 要： | 在实函数空间中，对用于判定Fourier级数收敛性的一个能同时包含O-正则变化拟单调类和剩余有界变差类的GBV条件作了进一步推广．这一条件能用于处理一类缺项三角级数的收敛性．
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| 关 键 词： | Fourier级数 一致收敛 L^1收敛 GBV条件 |
| 文章编号： | 1008-293X（2006）07-0010-07 |
| 收稿时间： | 2006-02-22 |
Remarks on a New Condition for the Convergence of Certain Trigonometric Series |
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| Zhao Dejun.Remarks on a New Condition for the Convergence of Certain Trigonometric Series[J].Journal of Shaoxing College of Arts and Sciences,2006,26(1):10-16. |
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| Authors: | Zhao Dejun |
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| Abstract: | This paper makes an improvement of the new condition which is used to deal with the convergence judgement of Fourier series in the real valued function space which can contain both the case of O - regularly varying quasi -monotone and the case of rest bounded varication. This new condition is able to deal with the convergence for a type of lacunary trigonometric series. |
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| Keywords: | Fourier series uniform convergence L^1 convergence GBV condition |
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