General inequalities related Hermite-Hadamard inequality for generalized fractional integrals

Havva Kavurmacı-Önalan, Erhan Set, Abdurrahman Gözpınar

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 <cite>raina</cite> and Agarwal et al. <cite>agarwal</cite>. 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.

Keywords


Hermite-Hadamard inequality; Riemann-Liouville fractional integral; fractional integral operator.

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2019.4.01

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