On certain Ostrowski type integral inequalities for convex function via AB-fractional integral operator

Abstract

We investigate and prove a new lemma for twice differentiable functions with the fractional integral operator AB. Based on this newly developed lemma, we derive some new results about this identity. These new findings provide some generalizations of previous findings. This research builds on a novel new auxiliary result that allows us to create new variants of Ostrowski type inequalities for twice differentiable convex mappings. Some of the newly presented results' special cases are also discussed. As applications, several estimates involving special means of real numbers and Bessel functions are depicted.

Keywords

• convexity
• hermite hadamard inequality
• hölder inequality
• power mean inequality
• young's inequality
• hölder-i̇şcan
• improved power means inequality
• atangana-baleanu fractional integral operator