TY - JOUR PB - American Institute of Mathematical Sciences UR - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099274320&doi=10.3934%2fmath.2021115&partnerID=40&md5=81fd62806ab2a5a94db3fce726634496 TI - Fractional inequalities of the hermiteâ??hadamard type for m-polynomial convex and harmonically convex functions SN - 24736988 ID - scholars15946 A1 - Nwaeze, E.R. A1 - Khan, M.A. A1 - Ahmadian, A. A1 - Ahmad, M.N. A1 - Mahmood, A.K. Y1 - 2021/// N1 - cited By 10 SP - 1889 IS - 2 N2 - In this paper, it is our purpose to establish some new fractional inequalities of the Hermiteâ??Hadamard type for the m-polynomial convex and harmonically convex functions. Our results involve the Caputoâ??Fabrizio and Ï?-Riemannâ??Liouville fractional integral operators. They generalize, complement and extend existing results in the literature. By taking m â?¥ 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. VL - 6 JF - AIMS Mathematics AV - none EP - 1904 ER -