Hermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator

Abstract

Due to applications in almost every area of mathematics, the theory of convex and nonconvex functions becomes a hot area of research for many mathematicians. In the present research, we generalize the Hermite–Hadamard-type inequalities for $\left(p,h\right)$ -convex functions. Moreover, we establish some new inequalities via the Caputo-Fabrizio fractional integral operator for $\left(p,h\right)$ -convex functions. Finally, the applications of our main findings are also given.