General inequalities related Hermite-Hadamard inequality for generalized fractional integrals
DOI:
https://doi.org/10.24193/subbmath.2019.4.01Keywords:
Hermite-Hadamard inequality, Riemann-Liouville fractional integral, fractional integral operator.Abstract
In this article, we first establish a new general integral identity for differentiable functions with the help of generalized fractional integral operators introduced by Raina [8] and Agarwal et al. [1]. As a second, by using this identity we obtain some new fractional Hermite-Hadamard type inequalities for functions whose absolute values of first derivatives are convex. Relevant connections of the results presented here with those involving Riemann-Liouville fractional integrals are also pointed out.
Mathematics Subject Classification (2010): 26A33, 26D10, 26D15, 33B20.
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