Some New Estimates on Coordinates of Generalized Convex Interval-Valued Functions

The theory of convex and nonconvex mapping has a lot applications in the field applied mathematics engineering. Riemann integrals are most significant operator interval theory, which permits generalization classical integrals. This study considers well-known coordinated interval-valued Hermite–Hadamard-type associated inequalities. To full fill this mileage, we use introduced left right preinvexity (LR-preinvexity) for further extension. Moreover, have some new important classes LR-preinvexity (preincavity), known as lower preinvex (preincave) upper mappings, by applying mild restrictions on mappings. By using these definitions, acquired many exceptional cases that can be viewed main results. We also present examples to demonstrate validity inclusion relations proposed paper.