%0 Journal Article %@ 24736988 %A Nwaeze, E.R. %A Khan, M.A. %A Ahmadian, A. %A Ahmad, M.N. %A Mahmood, A.K. %D 2021 %F scholars:15946 %I American Institute of Mathematical Sciences %J AIMS Mathematics %N 2 %P 1889-1904 %R 10.3934/math.2021115 %T Fractional inequalities of the hermite�hadamard type for m-polynomial convex and harmonically convex functions %U https://khub.utp.edu.my/scholars/15946/ %V 6 %X In this paper, it is our purpose to establish some new fractional inequalities of the Hermite�Hadamard type for the m-polynomial convex and harmonically convex functions. Our results involve the Caputo�Fabrizio and �-Riemann�Liouville fractional integral operators. They generalize, complement and extend existing results in the literature. By taking m � 2, we deduce loads of new and interesting inequalities. We expect that the thought laid out in this work will provoke advance examinations in this course. © 2021 the Author(s), licensee AIMS Press. %Z cited By 10