| Jordan不等式的拓广及应用 |
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| 引用本文： | 何灯,沈志军. Jordan不等式的拓广及应用[J]. 佛山科学技术学院学报(自然科学版), 2011, 29(5): 45-50 |
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| 作者姓名： | 何灯 沈志军 |
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| 作者单位： | 1. 全国不等式研究会,浙江海宁,314400
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M ap le数学软件,建立了Jordan不等式新的拓广形式,由此得到关于Se iffert平均的3个含参双边不等式,并给出杨乐不等式的一个推广。
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| 关 键 词： | Jordan不等式 多项式判别系统 Seiffert平均 杨乐不等式 |
The extension and application of Jordan inequality |
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| HE Deng,SHEN Zhi-jun. The extension and application of Jordan inequality[J]. Journal of Foshan University(Natural Science Edition), 2011, 29(5): 45-50 |
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| Authors: | HE Deng SHEN Zhi-jun |
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| Affiliation: | HE Deng1,SHEN Zhi-jun2(1.Chinese Society of Inequalities and Applications,Haining 314400,China,2.Xianyang BOMCO Steel Tube & Wire Rope Co.Ltd.,Xianyang 712000,China) |
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| Abstract: | Based of the virtue of the decision system for polynomial and mathematical soft Maple,new Jordan-type inequalities were established and based on these inequalities three double inequalities with parameter about Seiffert's mean and an extension for Yangle's inequality were obtained. |
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| Keywords: | Jordan's inequality decision system for polynomial Seiffert's mean Yangle's inequality |
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