Malaysian Journal of Mathematical Sciences, May 2015, Vol. 9, No. 2
On Hermite-Hadamard Type Inequalities for $\varphi $-convex Functions via Fractional Integrals
Mehmet Zeki Sarikaya and Hatice Yaldiz
Corresponding Email: yaldizhatice@gmail.com
Received date: -
Accepted date: -
Abstract:
In this paper, we establish integral inequalities of Hermite-Hadamard type involving Riemann-Liouville fractional integrals for $\varphi $-convex functions and some new inequalities of right-hand side of Hermite-Hadamard type are given for functions whose first derivatives absolute values $\varphi $-convex functions via Riemann-Liouville fractional integrals.
Keywords: Hermite-Hadamard's inequalities, Riemann-Liouville fractional integral, integral inequalities, $\varphi $-convex functions
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