Some Novel Inequalities for LR-(k,h-m)-p Convex Interval Valued Functions by Means of Pseudo Order Relation

In this paper, a new type of convexity is defined, namely, the left–right-(k,h-m)-p IVM (set-valued function) convexity. Utilizing definition convexity, we prove Hadamard inequalities for noninteger Katugampola integrals. These generalize convex IVM, (p,h)-convex p-convex h-convex, s-convex in second sense and many other related well-known classes functions implicitly. An apt number numerical examples are provided as supplements to derived results.