Hermite-Hadamard type inequalities for m-convex functions by using a new inequality for di erentiable functions

Author(s):

Yamin Sayyari * , Hasan Barsam

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
In this paper, we give some inequalities for di erentiable convex functions which are connected with the Hermite-Hadamard's integral inequality holding for convex functions. Also, we obtain some estimates to the right-hand side of Hermite-Hadamard inequality for functions whose absolute values of fourth derivatives raised to positive real powers are m-convex. Finally, some natural applications to special means of real numbers are given.
Keywords:

Hermite-Hadamard inequalities , functional inequalities , m-convex functions , quasiconvex functions , Holder inequality

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:9 Issue: 2, Summer and Autumn 2020
Pages:
55 to 67
https://www.magiran.com/p2196009