| 关于Jordan不等式的拓广及应用 |
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| 引用本文： | 何灯,王少光,吴善和.关于Jordan不等式的拓广及应用[J].汕头大学学报(自然科学版),2014(1):24-32. |
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| 作者姓名： | 何灯 王少光 吴善和 |
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| 作者单位： | [1]福清港头中学,福建福清350317 [2]福清东张中学,福建福清350305 [3]龙岩学院数学与计算机科学学院,福建龙岩364012 |
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| 基金项目： | 福建省自然科学基金资助项目（2012J01014）;福建省教育厅资助省属高校科研专项（JK2012049） |
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| 摘 要： | 借助于多项式判别系统和maple数学软件,本文建立了Jordan不等式新的拓广形式,所建立的不等式的强度优于现有的众多结论,并分别对Shafer-Fink型不等式,Seiffert平均不等式及杨乐不等式作了改进.
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| 关 键 词： | Jordan不等式 多项式判别系统 Seiffert平均不等式 杨乐不等式 |
Extension and Application of Jordan Inequality |
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| HE Deng,WANG Shao-guang,WU Shan-he.Extension and Application of Jordan Inequality[J].Journal of Shantou University(Natural Science Edition),2014(1):24-32. |
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| Authors: | HE Deng WANG Shao-guang WU Shan-he |
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| Institution: | 1. Gangtou Middle School, Fuqing 350317, Fujian, China; 2. Dongzhang Middle School, Fuqing 350305, Fujian, China; 3. Department of Mathematics and Computer Science, Longyan University, Longyan 364012, Fujian, China) |
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| Abstract: | Based on polynomial discrimination and the mathematical software-Maple, new Jordan-type inequalities were established which are stronger than that proposed in the previous articles. Shafer-Fink type inequalities, Seiffert＇s mean inequality and Yangle＇s inequality are also improved, |
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| Keywords: | Jordan＇ s inequality polynomial discrimination system Seiffert＇ s meaninequality Yangle＇ s inequality |
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