NEW FRACTIONAL INTEGRAL INEQUALITIES FOR LR-h-PREINVEX INTERVAL-VALUED FUNCTIONS

Based on the pseudo-order relation, we introduce the concept of left and right h-preinvex interval-valued functions (LR-h-PIVFs). Further, we establish the Hermite-Hadamard and Hermite-Hadamard-Fejer-type estimates for LR-h-PIVFs using generalized fractional integrals. Finally, an example of interval-valued fractional integrals is provided to illustrate the validity of the results derived herein. Our results not only extend some existing inequalities for Hadamard, Riemann-Liouville, and Katugampola fractional integrals, but also provide new insights for future research on generalized convexity and IVFs, among others.