relation: https://khub.utp.edu.my/scholars/15946/ title: Fractional inequalities of the hermite�hadamard type for m-polynomial convex and harmonically convex functions creator: Nwaeze, E.R. creator: Khan, M.A. creator: Ahmadian, A. creator: Ahmad, M.N. creator: Mahmood, A.K. description: 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. publisher: American Institute of Mathematical Sciences date: 2021 type: Article type: PeerReviewed identifier: Nwaeze, E.R. and Khan, M.A. and Ahmadian, A. and Ahmad, M.N. and Mahmood, A.K. (2021) Fractional inequalities of the hermite�hadamard type for m-polynomial convex and harmonically convex functions. AIMS Mathematics, 6 (2). pp. 1889-1904. ISSN 24736988 relation: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099274320&doi=10.3934%2fmath.2021115&partnerID=40&md5=81fd62806ab2a5a94db3fce726634496 relation: 10.3934/math.2021115 identifier: 10.3934/math.2021115