Some companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications

Abstract

In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute values are convex and concave. Finally, we give some applications for special means.

Keywords

• Convex function
• Ostrowski inequality
• Jensen integral inequality
• Hölder inequality
• Power-mean integral inequality