@article{scholars15946, title = {Fractional inequalities of the hermite{\^a}??hadamard type for m-polynomial convex and harmonically convex functions}, volume = {6}, number = {2}, doi = {10.3934/math.2021115}, pages = {1889--1904}, note = {cited By 10}, publisher = {American Institute of Mathematical Sciences}, journal = {AIMS Mathematics}, year = {2021}, issn = {24736988}, author = {Nwaeze, E. R. and Khan, M. A. and Ahmadian, A. and Ahmad, M. N. and Mahmood, A. K.}, abstract = {In this paper, it is our purpose to establish some new fractional inequalities of the Hermite{\^a}??Hadamard type for the m-polynomial convex and harmonically convex functions. Our results involve the Caputo{\^a}??Fabrizio and {\"I}?-Riemann{\^a}??Liouville fractional integral operators. They generalize, complement and extend existing results in the literature. By taking m {\^a}?Y 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. {\^A}{\copyright} 2021 the Author(s), licensee AIMS Press.}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099274320&doi=10.3934\%2fmath.2021115&partnerID=40&md5=81fd62806ab2a5a94db3fce726634496} }