On inequalities of Hermite-Hadamard type via n-polynomial exponential type s-convex functions

Abstract

In this paper, a new class of Hermite-Hadamard type integral inequalities using a strong type of convexity, known as n-polynomial exponential type s-convex function, is studied. This class is established by utilizing the Hölder's inequality, which has several applications in optimization theory. Some existing results of the literature are obtained from newly explored consequences. Finally, some novel limits for specific means of positive real numbers are shown as applications.

Keywords

• hermite-hadamard's type inequalities
• n-polynomial exponential convex functions
• s-convex function
• special means
• hölder's inequality