For , we find the least value and the greatest value such that the inequality holds for all with . Here, and are the generalized Heronian and the power means of two positive numbers and , respectively.
Hongya Gao. Jianling Guo. Wanguo Yu. "Sharp Bounds for Power Mean in Terms of Generalized Heronian Mean." Abstr. Appl. Anal. 2011 1 - 9, 2011. https://doi.org/10.1155/2011/679201