一个“奇特”平均推广的Schur幂凸性

The Schur Power Convexity for the Special Mean's Generalization

将涉及双曲函数及反双曲函数的一个"奇特"平均作参数推广,研究其Schur幂凸性,给出了判定的充要条件.文末提出4个待解决问题.

In this paper, we extend a special mean about hyperbolic tunetion and inverse hyperbolic function, and study the Sehur power convexity. We give the neeessacy and sufficent conditions for the judgment. At last , we propose four problems to be solved.