Fractional Integral Inequalities for m-polynomial Exponential Type s-Convex Functions

Abstract

In this article, we derive Hermite-Hadamard and Fej\'er Hermite-Hadamard inequalities by utilizing Riemann-Liouville fractional integrals with inclusion of $m$-polynomial exponential type $s$-convex functions. The H\"olders and power mean inequalities are used to establish the results that have strong applicability across a wide range of disciplines, including stochastic processes, computer science and engineering. We employ particular functions to investigate these inequalities and displaying their 2D and 3D graphs along with relevant table values. This presentation serves as evidence supporting the validity of the results obtained. We introduce trapezoid bounds as applications serving as error estimates for the developed result.