Abstract
In recent years, there has been a significant amount of research on the extension of convex functions which are known as preinvex functions. In this paper, we have used this approach to generalize the preinvex interval-valued function in terms of (1 pound, 2)-preinvex pound interval-valued functions because of its extraordinary applications in both pure and applied mathematics. The idea of (1 pound, 2)-preinvex pound interval-valued functions is explained in this work. By using the Riemann integral operator, we obtain Hermite-Hadamard and Fejer-type inequalities for (1 pound, 2)-preinvex pound interval-valued functions. To discuss the validity of our main results, we provide non-trivial examples. Some exceptional cases have been discussed that can be seen as applications of main outcomes.