A note on some new Hermite--Hadamard type inequalities for functions whose $n$th derivatives are strongly $eta$-convex

Author(s):

Seth Kermausuor* , Eze R. Nwaeze

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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 η-convex functions , H¨older’s inequality , Power mean inequality

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
179 to 187
https://www.magiran.com/p2261207