I.V-CR-γ-Convex Functions and Their Application in Fractional Hermite–Hadamard Inequalities

In recent years, the theory of convexity has influenced every field mathematics due to its unique characteristics. Numerous generalizations, extensions, and refinements have been introduced, one them is set-valued convexity. Interval-valued convex mappings are a special type maps. These close relationship with symmetry analysis. One important aspects between symmetric analysis ability work on apply principles another. this paper, we introduce novel class interval-valued (I.V.) functions called CR-γ-convex based non-negative mapping γ center-radius ordering relation. Due generic property, set new known forms can be obtained. First, derive generalized discrete integral Jensen’s inequalities using I.V. functions. We employ definition Riemann-Liouville fractional operators develop versions Hermite-Hadamard’s, Hermite-Hadamard-Fejer, Pachpatte’s inequalities. examine various key properties by considering as cases. Finally, support our findings interesting examples graphical representations.