| 调和级数部分和序列的单调性质 |
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| 引用本文： | 喻海元,舒适,刘焕文.调和级数部分和序列的单调性质[J].广西民族大学学报,1995(2). |
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| 作者姓名： | 喻海元 舒适 刘焕文 |
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| 作者单位： | 湘潭大学数学系，广西民院数学系 |
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| 摘 要： | 本文应用Ｂｅｒｎｏｕｌｌｉ多项式性质完全解决了由Ｄ．Ｄ．Ａｄａｍｏｖｉｃ和Ｍ．Ｒ．Ｔａｓｋｃｖｉｅ在文［１］中提出的关子调和级数部分和序列的单调性猜想：设ｐ，ｑ为任意满足ｑ＜３ｐ的自然数，则序列是单调逆减的．
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| 关 键 词： | 调和级数 部分和序列 单调性质 |
The Monotonicity of Partial Sum Sequence on Harmonic Series |
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| Yu Haiyuan,Shu Shi.The Monotonicity of Partial Sum Sequence on Harmonic Series[J].Journal of Guangxi University For Nationalities(Natural Science Edition),1995(2). |
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| Authors: | Yu Haiyuan Shu Shi |
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| Abstract: | In this peper, by using the properties of Bernoulli's polynomial,we have proved a conjecture. given by D.D.Adamovic and M. R. Taskovic in 1] as follows:Let p and q be positive integers provided that q<3p,then the series is monotone decreasing. |
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| Keywords: | Harmonic series Partial sum sequence Monotonicity |
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