Inequalities for symmetric means, symmetric harmonic means, and their applications

Hsu-Tung Ku, Mei-Chin Ku, Xin-Min Zhang
1997 Bulletin of the Australian Mathematical Society  
In this paper, we establish a number of inequalities involving symmetric means and symmetric harmonic means. We then apply these new inequalities to obtain many geometric inequalities of isoperimetric type for plane polygons. A n (a) = PW (a) and G B (a) = P n "l (a).
doi:10.1017/s0004972700031191 fatcat:vmbxftomvfhsdcu3h2taxh2awy