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Barani, A., Ghazanfari, A.G. and Dragomir, S.S., “Hermite-Hadamard inequality for functions whose derivatives absolute values are preinvex,” RGMIA Res. Rep. Coll., 14. Article 64. 2011.

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Article

Hermite-Hadamard’s Inequalities for Preinvex Function via Fractional Integrals and Related Fractional Inequalities

1Department of Mathematics, Faculty of Arts and Sciences, Giresun University, Giresun, Turkey


American Journal of Mathematical Analysis. 2013, Vol. 1 No. 3, 33-38
DOI: 10.12691/ajma-1-3-2
Copyright © 2013 Science and Education Publishing

Cite this paper:
İmdat İşcan. Hermite-Hadamard’s Inequalities for Preinvex Function via Fractional Integrals and Related Fractional Inequalities. American Journal of Mathematical Analysis. 2013; 1(3):33-38. doi: 10.12691/ajma-1-3-2.

Correspondence to: İmdat İşcan, Department of Mathematics, Faculty of Arts and Sciences, Giresun University, Giresun, Turkey. Email: imdat.iscan@giresun.edu.tr

Abstract

In this paper, the author has established Hermite- Hadamard’s inequalities for preinvex functions and has extended some estimates of the right side of a Hermite- Hadamard type inequalities for preinvex functions via fractional integrals.

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