@article { author = {Sayyari, Yamin and Barsam, Hasan}, title = {Hermite-Hadamard type inequalities for m-convex functions by using a new inequality for differentiable functions}, journal = {Journal of Mahani Mathematical Research}, volume = {9}, number = {2}, pages = {55-67}, year = {2020}, publisher = {Shahid Bahonar University of Kerman}, issn = {2251-7952}, eissn = {2645-4505}, doi = {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 = {Hermite-Hadamard inequalities,functional inequalities,m-convex functions,quasiconvex functions,Holder inequality}, url = {https://jmmrc.uk.ac.ir/article_2637.html}, eprint = {https://jmmrc.uk.ac.ir/article_2637_567cc46a7755ee31d232fa3433db496e.pdf} }