Generalized quasi-arithmetic means extend the classical concept of averaging by employing continuous, strictly monotonic functions to transform and then re-transform data. Originally introduced to ...

This is a preview. Log in through your library . Abstract Let 𝑓 : [0, 1] → [0, +∞) be a log-convex function, 0≤μ≤ 1 2 ≤τ≤1 and 𝑚 be a positive integer. Then by using the Jensen's inequality we prove ...