engleski

Fractional Steffensen Type Inequalities

In this paper, 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-hand and the left-hand side 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 and Holder-type and Minkowski-type inequalities are given.

Steffensen inequality; Riemann-Liouville fractional integral; exponential convexity

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