| 关于余弦的一个含参双边不等式及其应用 |
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| 引用本文： | 何灯.关于余弦的一个含参双边不等式及其应用[J].汕头大学学报(自然科学版),2011,26(3):15-21,34. |
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| 作者姓名： | 何灯 |
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| 作者单位： | 福清港头中学,福建福清,351317 |
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| 摘 要： | 借助于多项式判别系统和maple数学软件,建立了关于余弦的一个含参双边不等式及含参三角函数不等式链,由此得到两条关于Seiffert平均的不等式链,并给出杨乐不等式的一个拓广.
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| 关 键 词： | 多项式判别系统 三角不等式 Seiffert平均 杨乐不等式 |
Construction and Application of Double-Sided Cosine Inequalities with Variable Parameters |
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| HE Deng.Construction and Application of Double-Sided Cosine Inequalities with Variable Parameters[J].Journal of Shantou University(Natural Science Edition),2011,26(3):15-21,34. |
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| Authors: | HE Deng |
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| Institution: | HE Deng(Gangtou Middle School,Fuqing 350317,Fujian,China) |
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| Abstract: | Based on polynomial discrimination and the mathe, matical software, Maple, Lhe, maximization problem of parameters in trigonome, tric inequalities art; solved. Douhh：- sided cosine ine, qualilies with variable pararneters as well as chains of trigonornelric inequalities with variabh＇ parameters art; conslrut＇tc, d. Inequality chains of Sciffert aw;ragc, are derived and an extension of Yangle inequalities is also examined. |
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| Keywords: | polynomial diseriminalion system trigonometric inequalities Seil＇lerlaverage Yanglc inequalities |
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