Quantum estimates in two variable forms for Simpson-type inequalities considering generalized ψ-convex functions with applications

This article proposes a new approach based on quantum calculus framework employing novel classes of higher order strongly generalized psi-convex and quasiconvex functions. Certain pivotal inequalities of Simpsontype to estimate innovative variants under the q1, q2-integral and derivative scheme that provides a series of variants correlate with the special Raina's functions. Meanwhile, a q1, q2-integral identity is presented, and new theorems with novel strategies are provided. As an application viewpoint, we tend to illustrate two-variable q1q2-integral identities and variants of Simpson-type in the sense of hypergeometric and Mittag-Leffler functions and prove the feasibility and relevance of the proposed approach. This approach is supposed to be reliable and versatile, opening up new avenues for the application