On Hermite-Hadamard Inequalities for Differentiable λ-Preinvex Functions via Fractional Integrals

Abdullah Akkurt; M. Esra Yildirim; Hüseyin Yildirim

doi:10.9734/BJMCS/2016/26518

Research Article Open access CC BY 4.0

On Hermite-Hadamard Inequalities for Differentiable λ-Preinvex Functions via Fractional Integrals

Abdullah Akkurt, M. Esra Yildirim, Hüseyin Yildirim

Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 15 Jun 2016

10.9734/BJMCS/2016/26518

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.

Fractional hermite-hadamard inequalities preinvex functions riemann-liouville fractional integrals.

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Abdullah Akkurt, M. Esra Yildirim, Hüseyin Yildirim (2016). On Hermite-Hadamard Inequalities for Differentiable λ-Preinvex Functions via Fractional Integrals. Journal of Advances in Mathematics and Computer Science , 1–10. https://doi.org/10.9734/BJMCS/2016/26518

Affiliations

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.

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