New Fractional Integral Inequalities for Convex and α-Star s-Convex Functions

Abstract

In this study, new integral inequalities related to the Caputo-Fabrizio fractional integral operator are obtained using the definitions of convex functions and α-star s- convex function classes. In the results obtained with α-star s-convex functions, , α^s=1 is taken to obtain special results that have already been added to the literature. The well-known Hölder and Young inequalities for convex functions and α-star s-convex functions are used. In the proof of the integral inequalities obtained, the definition of function classes and basic analysis knowledge are utilized.

Keywords

• Convex Function
• α-Star s- Convex Function
• Caputo-Fabrizio fractional integrals

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