| Jordan不等式的新型拓广及应用 |
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| 引用本文： | 何灯,沈志军.Jordan不等式的新型拓广及应用[J].广东教育学院学报,2011(5):23-30. |
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| 作者姓名： | 何灯 沈志军 |
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| 作者单位： | [1]福清港头中学,福建福清350317 [2]咸阳宝石钢管钢绳有限公司,陕西咸阳712000 |
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| 摘 要： | 借助于多项式判别系统和maple数学软件，建立了Jordan不等式新的拓广形式，由此得到关于Seiffert平均的较强上下界，并推广了Kober不等式及杨乐不等式．
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| 关 键 词： | Jordan不等式 Kober不等式 Selfferr平均 杨乐不等式 多项式判别系统 |
The New Type Expansion and Application for Jordan Inequality |
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| HE Deng,SHEN Zhi-jun.The New Type Expansion and Application for Jordan Inequality[J].Journal of Guangdong Education Institute,2011(5):23-30. |
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| Authors: | HE Deng SHEN Zhi-jun |
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| Institution: | 1. Gangtou Middle School, Fuqing,Fujian, 350317, P. R. China; 2. Xianyang BOMCO Steel Tube ＆ Wire Rope Co. , Ltd. Xianyang, Shanxi, 712000, P. R. China) |
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| Abstract: | By virtue of the decision system for polynomial and mathematical soft Maple, a new Jordantype inequality is established, and formed to obtain sharpening upper and lower bounds about Seiffert Mean and the extension for Kober inequality and Yangle inequality. |
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| Keywords: | Jordan inequality Kober inequality Seiffert mean Yangle inequality decision system for polynomial |
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