NEW FRACTIONAL INTEGRAL INEQUALITIES FOR EXPONENTIALLY (h,m)-PREINVEX INTERVAL-VALUED FUNCTIONS

We introduce the concept of exponentially [Formula: see text]-preinvex interval-valued functions (EP-([Formula: see text])-IVFs) by using the pseudo-order relation, and derive some interesting properties. Based on such a definition, we present some new Hermite–Hadamard and Hermite–Hadamard–Fejér-type inequalities for [Formula: see text]-Riemann–Liouville fractional integrals. These inequalities not only generalize some existing research findings in the literature, but also provide a new direction for the further study of interval integral estimation. Additionally, graphical representations and numerical estimates of some examples are given to illustrate the validity of the main results.