Abstract.

The study is based on bringing together important concepts of fractional analysis, convex analysis and inequality theory and includes various new Ostrowski-Mercer type inte gral inequalities. In the main findings section; New integral inequalities have been established for differentiable convex functions via an integral identity that have the potential to produce Ostrowski-Mercer type inequalities and whose proof is given with the help of Atangana-Baleanu fractional integral operators. Several special cases have been considered for classical Riemann integrals.

Keywords:

convex function, Ostrowski’s inequality, Mercer inequality, Atangana-Baleanu frac tional integral operators.