摘要
第一部分证明了涉及x_k+x_k^(-1)(k=1,…,n,x_k>0,n≥2)的几何、调和、算术平均的三个不等式,最后一个推广了Mitrinovi(?)-Djokovi(?)不等式;第二部分给出了Opial不等式的一种简单证法。
In this paper it is proved that three inequalities concerning the geometric, harmonic and arthimetric means for x_k+x_k^(-1)(k=1, 2, …, n, x_k>0, n≥2). Thc last one is a generalization of an inequality due to Mitrinoviě and Djokoviě.
