@article{Zahra2022, 
author = {Moquddsa Zahra and Dina Abuzaid and Ghulam Farid and Kamsing Nonlaopon},
title = {On Hadamard inequalities for refined convex functions via strictly monotone functions},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {11},
pages = {20043-20057},
keywords = {convex function, refined (α, h − m)-convex function, monotone function, Hadamard inequality, Riemann-Liouville fractional integrals},
url = {https://www.sciopen.com/article/10.3934/math.20221096},
doi = {10.3934/math.20221096},
abstract = {In this paper, we define refined    (  α  ,  h  −  m  )-convex function with respect to a strictly monotone function. This function provides refinements of various well-known classes of functions for specific strictly monotone functions. By applying definition of this new function we prove the Hadamard inequalities for Riemann-Liouville fractional integrals. These inequalities give the refinements of fractional Hadamard inequalities for convex,    (  α  ,  m  )-convex,    (  h  −  m  )-convex,    (  s  ,  m  )-convex,    h-convex and many other related well-known classes of functions implicitly. Also, Hadamard type inequalities for    k-fractional integrals are given.}
}