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

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 Holder'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.

Automated summary

This paper studies a new class of integral inequalities using a strong type of convexity called n-polynomial exponential type s-convex function. These inequalities are established by utilizing the Holder's inequality, which has various applications in optimization theory. Some existing results are obtained from newly explored consequences, and some novel limits for specific means of positive real numbers are shown as applications.