Hermite-Hadamard Type Inequalities for $\left( n,m,h_{1},h_{2},\varphi \right) -$Convex Functions Via Fractional Integrals

Abdullah AKKURTa,* and H¨ useyin YILDIRIMb

Hermite-Hadamard Type Inequalities for $\left( n,m,h_{1},h_{2},\varphi \right) -$Convex Functions Via Fractional Integrals

Authors :

Abdullah AKKURT^a,* and H¨ useyin YILDIRIM^b

Author Address :

^a,bDepartment of Mathematics, Faculty of Science and Arts, University of Kahramanmara¸s S¨ut¸c ¨u ˙Imam, 46100, Kahramanmara¸s, Turkey.

*Corresponding author.

Abstract :

In this paper, we obtain new generalizations for Hermite-Hadamard inequality by using Riemann-Liouville fractional integral and new type convex functions.

Keywords :

Integral inequalities, Riemann-Liouville Fractional integral, Hermite-Hadamard Inequality, $\left( n,m,h_{1},h_{2},\varphi \right)-$Convex Functions.

DOI :

Article Info :

Received : September 14, 2015; Accepted : January 17, 2016.