New quantum boundaries for quantum Simpson's and quantum Newton's type inequalities for preinvex functions

In this research, we derive two generalized integral identities involving the q kappa 2-quantum integrals and quantum numbers, the results are then used to establish some new quantum boundaries for quantum Simpson's and quantum Newton's inequalities for q-differentiable preinvex functions. Moreover, we obtain some new and known Simpson's and Newton's type inequalities by considering the limit q -> 1- in the key results of this paper.

Automated summary

In this research, two generalized integral identities involving q kappa 2-quantum integrals and quantum numbers were derived to establish new quantum boundaries for quantum Simpson's and quantum Newton's inequalities for q-differentiable preinvex functions. Additionally, new and known Simpson's and Newton's type inequalities were obtained by considering the limit q -> 1- in the key results of the paper.