Quantum Hermite-Hadamard and quantum Ostrowski type inequalities for s-convex functions with applications

Abstract

In this study, we use quantum calculus to prove Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in the second sense. The newly proven results are also shown to be an extension of comparable results in the literature, like the results of [1, 12, 16]. Furthermore, it is provided that how the newly discovered inequalities can be applied to special means of real numbers.