In this paper, we propose and analyze the concept of s-convex function ofexponential type, as well as some of its algebraic properties are discussed. Inaddition, for the newly suggested class of functions, we demonstrate several newintegral inequalities of the Hermite-Hadamard (H-H) type. Furthermore, weexplore various variants of the H-H type inequalities for a function whose firstabsolute derivative at a certain power is s-convex function of exponential type. Inaccordance with this newly proposed concept, we studied various applications ofspecial means. We hope that the technique studied in this work will further sparkthe interest of interested scholars.
AMS Subject Classification: Primary 26D15; secondary 26A51