On Ostrowski-Mercer Type Inequalities for Twice Differentiable Convex Functions

Abstract

Based on the Jensen-Mercer inequality proposed by Mercer in 2003, numerous studies have been given by researchers up to the present day. Taking into account the ongoing investigation, we have constructed a new integral equality that will produce new Ostrowski-Mercer type inequalities. By using this identity, we obtained new upper bounds for the Ostrowski-Mercer inequalities for twice differentiable convex functions.