(q1,q2)-Trapezium-Like Inequalities Involving Twice Differentiable Generalized m-Convex Functions and Applications

Abstract

A new auxiliary result pertaining to twice (q1,q2)-differentiable functions is derived. Using this new auxiliary result, some new versions of Hermite–Hadamard’s inequality involving the class of generalized m-convex functions are obtained. Finally, to demonstrate the significance of the main outcomes, some applications are discussed for hypergeometric functions, Mittag–Leffler functions, and bounded functions.