Some Ostrowski type inequalities via n-polynomial exponentially s-convex functions and their applications

Abstract

This paper deals with introducing and investigating a new convex mapping namely, n-polynomial exponentially s-convex. Here, we present some algebraic properties and some logical examples to validate the theory of newly introduced convexity. Some novel adaptations of the well-known Hermite-Hadamard and Ostrowski type inequalities for this convex function have been established. Additionally, some special cases of the newly established results are derived as well. Finally, as applications some new limits for special means of positive real numbers are given. These new outcomes yield a few generalizations of the earlier outcomes already published in the literature.

Keywords

• ostrowski inequality
• hölder's inequality
• power-mean integral inequality
• n-polynomial exponentially s-convex function