Document Type : Research Paper

Authors

• Seth Kermausuor
• Eze R Nwaeze

Department of Mathematics and Computer Science, Alabama State University, Montgomery, AL 36101, USA

Abstract

In this paper, we establish some new variants of the Hermite--Hadamard integral type inequalities for functions whose $n$th derivatives in absolute values at certain powers are strongly $\eta$-convex.

Keywords

• Hermite-Hadamard type inequality
• strongly $\eta$-convex functions
• Holder's inequality
• Power mean inequality