Journal
AIP ADVANCES
Volume 8, Issue 7, Pages -Publisher
AIP Publishing
DOI: 10.1063/1.5031954
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In this paper, our main aim is to give results for conformable fractional integral version of Hermite-Hadamard inequality and their applications for mid-point formula and means. First, we prove an identity associated with the Hermite-Hadamard inequality for conformable fractional integrals. By using this identity and convexity of different classes of functions and some well-known inequalities, we obtain several results for the inequality. At the end, we also present applications for some error estimations of the mid-point formula and means. The results obtained in this paper generalize the earlier results. Furthermore, the identity can be used to obtain results for Hermite-Hadamard inequality for some other generalized classes of convex functions. (C) 2018 Author(s).
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