New inequalities of Ostrowski type for mappings whose derivatives are s-convex in the second sense via fractional integrals

New identity similar to an identity of [13] for fractional integrals have been defined. Then making use of this identity, some new Ostrowski type inequalities for Riemann-Liouville fractional integral have been developed. Our results have some relationships with the results of Alomari et. al., proved in [13] [published in. Appl. Math. Lett. 23 (2010) 1071-1076] and the analysis used in the proofs is simple

Ostrowski type inequalities for harmonically s-convex functions via fractional integrals

In this paper, a new identity for fractional integrals is established. Then by making use of the established identity, some new Ostrowski type inequalities for harmonically s-convex functions via Riemann--Liouville fractional integral are established.Comment: 14 page

On New Inequalities for h-convex Functions via Riemann-Liouville Fractional Integration

In this paper, some new inequalities of the Hermite-Hadamard type for h-convex functions via Riemann-Liouville fractional integral are given

On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications

This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and their properties. The results were directed by Riemann–Liouville fractional integral operators. Furthermore, using special means, q-digamma functions and modified Bessel functions, some applications of the acquired results were obtained.Basque Government: Grants IT1555-22 and KK-2022/00090; and MCIN/AEI 269.10.13039/501100011033 for Grant PID2021-1235430B-C21/C22

Fractional Ostrowski type inequalities for functions whose derivatives are s-preinvex

In this paper, we establish a new integral identity, and then we derive some new fractional Ostrowski type inequalities for functions whose derivatives are s-preinvexpeerReviewe

Ostrowski type fractional integral operators for generalized (;,,)−preinvex functions

In the present paper, the notion of generalized (;,,)−preinvex function is applied to establish some new generalizations of Ostrowski type inequalities via fractional integral operators. These results not only extend the results appeared in the literature but also provide new estimates on these type