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

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.