Shahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79529220201001Hermite-Hadamard type inequalities for m-convex functions by using a new inequality for differentiable functions5567263710.22103/jmmrc.2020.14449.1099ENYaminSayyariDepartment of Mathematics, Sirjan University of Technology, Sirjan, IranHasanBarsamDepartment of Mathematics, University of Jiroft, Jiroft, Iran0000-0003-4487-5434Journal Article20190724In this paper, we give some inequalities for dierentiable 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.https://jmmrc.uk.ac.ir/article_2637_567cc46a7755ee31d232fa3433db496e.pdf