Some Inequalities for LR-$$\left({h}_{1}, {h}_{2}\right)$$-Convex Interval-Valued Functions by Means of Pseudo Order Relation

Abstract In both theoretical and applied mathematics fields, integral inequalities play a critical role. Due to the behavior of definition convexity, concepts convexity inequality depend on each other. Therefore, relationship between symmetry is strong. Whichever one we work on, introduced new class generalized convex function known as LR- $$\left({h}_{1}, {h}_{2}\right)$$ h1,h2 -convex interval-valued (LR- -IVF) by means pseudo order relation. Then, established its strong Hermite–Hadamard ( HH -inequality)) their variant forms. Besides, derive Hermite–Hadamard–Fejér –Fejér inequality)) for functions. Several exceptional cases are also obtained which can be viewed applications this concept convexity. Useful examples given that verify validity theory in research. This paper’s techniques may starting point further research field.