Abstract
In this article, we state, prove and discuss new Steffensen type fractional inequalities involving fractional derivatives of Canavati, Riemann–Liouville and Caputo types. Finally, we define functionals as a difference between the right- and left-hand sides of the new fractional Steffensen type inequalities and obtain related analogous of the Lagrange and the Cauchy mean value theorems. Furthermore, exponential convexity is proven.
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