| 关于余弦的一个含参双边不等式及其应用 |
| |
| 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 |
| |
| 作者姓名： | 何灯 |
| |
| 作者单位： | 福清港头中学,福建福清,351317 |
| |
| 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.
|
| 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 |
| |
| 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 |
| |
| Authors: | HE Deng |
| |
| Affiliation: | HE Deng(Gangtou Middle School,Fuqing 350317,Fujian,China) |
| |
| 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. |
| |
| Keywords: | polynomial diseriminalion system trigonometric inequalities Seil＇lerlaverage Yanglc inequalities |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
