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

Year 2026, Volume: 15 Issue: 1 , 50 - 57 , 30.03.2026

Sinan Aslan , Ahmet Ocak Akdemir

https://doi.org/10.46810/tdfd.1585546

https://izlik.org/JA69KM96GC

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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