| VanDerCorput不等式的推广 |
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| 引用本文： | 张帆,钱伟茂.VanDerCorput不等式的推广[J].湖州师专学报,2012(1):10-15. |
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| 作者姓名： | 张帆 钱伟茂 |
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| 作者单位： | [1]湖州职业技术学院建筑工程学院,浙江湖州313000 [2]湖州广播电视大学远程教育学院,浙江湖州313000 |
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| 基金项目： | 中央广播电视大学“十一五”规划课题（GEQ1633Y）;浙江广播电视大学2009年度科学研究课题（XKT09G21）. |
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| 摘 要： | 利用函数单凋性理论对VanDerCorput不等式进行了研究，从而建立了一个新的VanDerCorput型不等式．它不仅改进了已有的相关结果，而且形式简洁；同时表明函数单调性理论在不等式研究中具有重要的作用．
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| 关 键 词： | 单调性 Van Der Corput型不等式 欧拉常数 |
On the Generalization of Van Der Corput＇s Inequality |
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| Institution: | ZHANG Fan, QIAN Wei - mao (1. School of Civil Engineering and Architecture, Huzhou Vocational and Technical College, Huzhou 313000, China; 2. School of Distance Education, Huzhou Broadcast and TV University, Huzhou 313000, China) |
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| Abstract: | In this paper, we establish a new Van Der Corput type inequality by using the monotonicity theory. The conclusion not only improves some well- known results, but also has a perfect simple form. In the meantime, it is shown that the monotonicity theory plays an important role in studying inequalities. |
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| Keywords: | monotonicity Van Der Corput type inequality＇ Euler＇s constant |
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