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

Document Type : Research Paper

Authors

1 Department of Mathematics, Sirjan University of Technology, Sirjan, Iran

2 Department of mathematics university of jiroft

10.22103/jmmrc.2020.14449.1099

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


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