| 关于Van Der Corput不等式加强式的改进 |
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| 引用本文： | 邓勇平,何灯,吴善和.关于Van Der Corput不等式加强式的改进[J].数学的实践与认识,2012,42(22):223-228. |
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| 作者姓名： | 邓勇平 何灯 吴善和 |
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| 作者单位： | 1. 龙岩学院数学与计算机科学学院,福建 龙岩,364012
2. 福清港头中学,福建福清,350317 |
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| 基金项目： | 福建省自然科学基金，福建省教育厅资助省属高校科研专项 |
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| 摘 要： | 运用数值计算和分析方法将Van Der Corput不等式的加强形式作进一步改进,通过强弱比较表明,所建立的不等式的强度优于以往文献的结果,并且所建立的不等式在形式上也较为简洁.
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| 关 键 词： | Van Der Corput不等式 Franel不等式 欧拉常数 加强 改进 |
On an Improvement of Sharp Van Der Corput's Inequality |
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| DENG Yong-ping
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HE Deng
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WU Shan-he.On an Improvement of Sharp Van Der Corput's Inequality[J].Mathematics in Practice and Theory,2012,42(22):223-228. |
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| Authors: | DENG Yong-ping HE Deng WU Shan-he |
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| Institution: | 1 (1.Department of Mathematics and Computer Science,Longyan University,Longyan 364012,China) (2.Gangtou Middle School,Fuqing 350317,China) |
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| Abstract: | In this paper,a sharp version of van der Corput's inequality is improved by using computational and analytic techniques.By arithmetic compare,it is easy to verify that the inequality obtained in this paper is stronger and more concise than that proposed in the previous articles. |
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| Keywords: | Van Der Corput's inequality Franel's Inequality Euler's constant sharpness improvement |
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