%0 Journal Article
%T Hermite-Hadamard type inequalities for m-convex functions by using a new inequality for differentiable functions
%J Journal of Mahani Mathematical Research
%I Shahid Bahonar University of Kerman
%Z 2251-7952
%A Sayyari, Yamin
%A Barsam, Hasan
%D 2020
%\ 10/01/2020
%V 9
%N 2
%P 55-67
%! Hermite-Hadamard type inequalities for m-convex functions by using a new inequality for differentiable functions
%K Hermite-Hadamard inequalities
%K functional inequalities
%K m-convex functions
%K quasiconvex functions
%K Holder inequality
%R 10.22103/jmmrc.2020.14449.1099
%X In 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.
%U https://jmmrc.uk.ac.ir/article_2637_567cc46a7755ee31d232fa3433db496e.pdf