Some H-Godunova–Levin Function Inequalities Using Center Radius (Cr) Order Relation

Interval analysis distinguishes between different types of order relations. As a result these relations, convexity and nonconvexity contribute to kinds inequalities. Despite this, convex theory is commonly known rely on Godunova–Levin functions because their properties make it more efficient for determining inequality terms than ones. The purpose this study introduce the notion cr-h-Godunova–Levin by using total relation two intervals. Considering widespread use, center-radius appears be ideally suited In paper, various inequalities are introduced (cr) relation. cr-order enables us firstly derive some Hermite–Hadamard (H.H) inequalities, then present Jensen-type h-Godunova–Levin interval-valued (GL-IVFS) Riemann integral operator. This kind unifies several new well-known functions. Additionally, includes useful examples support its findings. These results confirm that concept addressing wide range We hope our will encourage future research into fractional versions optimization problems associated with them.