Fractional Milne-type inequalities for twice differentiable functions

Abstract

In this study, a specific identity was derived for functions that possess two continuous derivatives. Through the utilization of this identity and Riemann-Liouville fractional integrals, several fractional Milne-type inequalities were established for functions whose second derivatives inside the absolute value are convex. Additionally, an example and a graphical representation are included to clarify the core findings of our research.

Keywords

• milne-type inequalities
• fractional integrals
• convexity
• differentiable functions