TY - JOUR
ID - 2637
TI - Hermite-Hadamard type inequalities for m-convex functions by using a new inequality for differentiable functions
JO - Journal of Mahani Mathematical Research
JA - JMMR
LA - en
SN - 2251-7952
AU - Sayyari, Yamin
AU - Barsam, Hasan
AD - Department of Mathematics, Sirjan University of Technology, Sirjan, Iran
AD - Department of Mathematics, University of Jiroft, Jiroft, Iran
Y1 - 2020
PY - 2020
VL - 9
IS - 2
SP - 55
EP - 67
KW - Hermite-Hadamard inequalities
KW - functional inequalities
KW - m-convex functions
KW - quasiconvex functions
KW - Holder inequality
DO - 10.22103/jmmrc.2020.14449.1099
N2 - 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.
UR - https://jmmrc.uk.ac.ir/article_2637.html
L1 - https://jmmrc.uk.ac.ir/article_2637_567cc46a7755ee31d232fa3433db496e.pdf
ER -