Generalizations of AM-GM-HM means inequalities.

In this paper, we showed some generalized refinements and reverses of arithmetic-geometric-harmonic means (AM-GM-HM) inequalities due to Sababheh [J. Math. Inequal. 12 (2018), 901-920]. Among other results, it was shown that if a, b > 0, 0 < p ≤ t < 1 and m ∈ N⁺, then ...for b ≥ a, and the inequalities are reversed for b ≤ a. As applications, we obtained some inequalities for operators and determinants. [ABSTRACT FROM AUTHOR]