On Hermite-Hadamard Inequalities for Differentiable λ-Preinvex Functions via Fractional Integrals
Abdullah Akkurt *
Department of Mathematics, Faculty of Science and Arts, University of Kahramanmaras Sütçü İmam, 46100, Kahramanmaras, Turkey.
M. Esra Yildirim
Department of Mathematics, Faculty of Science, University of Cumhuriyet, 58140, Sivas, Turkey.
Hüseyin Yildirim
Department of Mathematics, Faculty of Science and Arts, University of Kahramanmaras Sütçü İmam, 46100, Kahramanmaras, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we consider a new class of convex functions which is called λ-preinvex functions. We prove several Hermite-Hadamard type inequalities for differentiable λ-preinvex functions via Fractional Integrals. Some special cases are also discussed.
Keywords: Fractional hermite-hadamard inequalities, preinvex functions, riemann-liouville fractional integrals.