SOME OSTROWSKI-MERCER TYPE INEQUALITIES FOR DIFFERENTIABLE CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATORS WITH STRONG KERNELS

Abstract

The focus of this study is to create Ostrowski-Mercer type inequalities that will bring these famous inequalities together with the help of Atangana-Baleanu fractional integral operator. First, an integral identity that has the potential to produce Ostrowski-Mercer type inequalities is proved, and then new results are proved on the basis of this integral identity. By giving various applications of the findings for q- digamma function, Bessel function, and mean functions, the study is aimed to gain a guiding basic study feature for other researchers. The simulations section includes several figures that show the illustrative examples for comparing the left and right hand sides of our results.