Parametric generalized (p,q)-integral inequalities and applications

Abstract

A new generalized (p,q)-integral identity is derived. Using this new identity as an auxiliary result, we derive new parametric generalizations of certain integral inequalities using the class of s-preinvex functions. We discuss several new and known special cases of the obtained results. This shows that our results are quite unifying. To demonstrate the significance of the main results, we also present some interesting applications.

Keywords

• convex
• preinvex
• s-preinvex
• post quantum calculus
• integral inequalities