On Cerone's and Bellman's generalization of Steffensen's integral inequality via conformable sense

Abstract

By making use of the conformable integrals, we establish some new results on Cerone's and Bellman's generalization of Steffensen's integral inequality. In fact, we provide a variety of generalizations of Steffensen's integral inequality by using conformable calculus.

Keywords

• conformable derivative and integral
• convex functions
• steffensen's
• cerone's
• belman's
• hayashi's and jensen's inequalities