On Fejér Type Inequalities For Products Two Convex Functions

In this paper, we first obtain some new Fejér type inequalities for products of two convex mappings. Moreover, by applying these inequalities for Riemann-Liouville fractional integrals, we establish some Fejér type inequalities involving Riemann-Liouville fractional integrals. The most important feature of our work is that it contains Fejér type inequalities for both classical integrals and fractional integrals

New generalization fractional inequalities of Ostrowski-Gr\"uss type

In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities of Ostrowski-Gr\"uss type. From our results, the classical Ostrowski-Gr\"uss type inequalities can be deduced as some special cases

Simpson’s type inequalities for η-convex functions via k-Riemann–Liouville fractional integrals

We introduce some Simpson's type integral inequalities via k-Riemann–Liouville fractional integrals for functions whose derivatives are η-convex. These results generalize some results in the literature

Estimations of Riemann–Liouville k-fractional integrals via convex functions

The k-fractional integrals introduced by S. Mubeen and G. M. Habibullah in 2012 are a generalization of Riemann–Liouville fractional integrals. Some estimations of these fractional integrals via convexity have been established

New generalized midpoint type inequalities for fractional integral

Agarwal, Praveen/0000-0001-7556-8942WOS: 000504461100011Here, our first aim to establish a new identity for differentiable function involving Riemann-Liouville fractional integrals. Then, we obtain same generalized midpoint type inequalities utilizing convex and concave function