Abstract:
The theory of convex functions finds notable application in the examination of classical
inequalities. In this context, we demonstrate its capacity to offer a straightforward,
refined and cohesive approach to several widely recognized mathematical inequalities.
The goal of this study is to give generalizations of Hermite-Hadamard inequality for s convex functions and related results, which are a special type of convex functions. Also
present some interesting examples to support our inequalities. Furthermore, we focus
on refinement of Fejér inequality for s-Convex functions in the fourth sense and establish
some important results equipped with integration, we also present some examples to
support our main results.