关于余弦的一个含参双边不等式及其应用  

Construction and Application of Double-Sided Cosine Inequalities with Variable Parameters

作　　者：何灯 

机构地区：[1]福清港头中学,福建福清350317

出　　处：《汕头大学学报（自然科学版）》2011年第3期15-21,34,共8页Journal of Shantou University：Natural Science Edition

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.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.

关 键 词：多项式判别系统 三角不等式 SEIFFERT平均 杨乐不等式 

分 类 号：O122.3[理学—数学]