eprintid: 15946 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/01/59/46 datestamp: 2023-11-10 03:30:34 lastmod: 2023-11-10 03:30:34 status_changed: 2023-11-10 02:00:49 type: article metadata_visibility: show creators_name: Nwaeze, E.R. creators_name: Khan, M.A. creators_name: Ahmadian, A. creators_name: Ahmad, M.N. creators_name: Mahmood, A.K. title: Fractional inequalities of the hermite�hadamard type for m-polynomial convex and harmonically convex functions ispublished: pub note: cited By 10 abstract: 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. date: 2021 publisher: American Institute of Mathematical Sciences official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099274320&doi=10.3934%2fmath.2021115&partnerID=40&md5=81fd62806ab2a5a94db3fce726634496 id_number: 10.3934/math.2021115 full_text_status: none publication: AIMS Mathematics volume: 6 number: 2 pagerange: 1889-1904 refereed: TRUE issn: 24736988 citation: 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