On some generalized Simpson type inequalities for (α,m)-coordinated convex functions in context of q 1 q 2-calculus

Abstract

Abstract In the current investigation, we offer the generalized version of q 1 ⁢ q 2 {q_{1}q_{2}} -Simpson’s type inequalities via ( α , m ) {(\alpha,m)} -coordinated convex functions. To validate their generalized behavior, we demonstrate the link between our outcomes and the already derived ones. Moreover, we provide some application to special means of positive real numbers to support our findings. The principal outcomes raised in this investigation are extensions and generalizations of the comparable results in the history on Simpson’s inequalities for coordinated convex functions.