Some new integral inequalities for s-convex functions of exponential type and their applications

Abstract

In this paper, we propose and analyze the concept of s-convex function of exponential type, as well as some of its algebraic properties are discussed. In addition, for the newly suggested class of functions, we demonstrate several new integral inequalities of the Hermite-Hadamard (H-H) and well known Ostrowski type. Furthermore, we explore various variants of the H-H and Ostrowski type inequalities for a function whose first absolute derivative at a certain power is s-convex function of exponential type. In accordance with this newly proposed concept, we studied various applications of special means. We hope that the technique studied in this work will further spark the interest of interested scholars. AMS Subject Classification: Primary 26D15; secondary 26A51