... instead of Ms,t and we replace vi x with ui x , ui x with D∗a ui x , and q x with QD x Remark 2.21 In the case of L∞ fractional derivative, we will use the notation Ms,t instead of β α Ms,t and ... monotonicity of the means Journal of Inequalities and Applications Main Results Theorem 2.1 Let ui ∈ U v, K i 1, , and r x ≥ for all x ∈ a, b Also let I ⊆ R be an interval, let φ : I → R be convex, and ... means In Section 3, we give the proof of positive semidefiniteness of matrices generated by the difference of that inequality obtained from the generalization of Mitrinovi´ -Peˇ ari´ inequality and...