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M. Tomar, E. Set and M. Z. Sarıkaya, Hermite-Hadamard type Riemann-Liouville fractional integral inequalities for convex functions, AIP Conference Proceedings 1726, 020035 (2016).

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Article

Inequalities of Type Hermite-Hadamard for Fractional Integrals via Differentiable Convex Functions

1Department of Mathematics, College of Education, Sulaimani University, Sulaimani, Kurdistan Region, Iraq


Turkish Journal of Analysis and Number Theory. 2016, Vol. 4 No. 5, 135-139
DOI: 10.12691/tjant-4-5-3
Copyright © 2016 Science and Education Publishing

Cite this paper:
P. O. Mohammed. Inequalities of Type Hermite-Hadamard for Fractional Integrals via Differentiable Convex Functions. Turkish Journal of Analysis and Number Theory. 2016; 4(5):135-139. doi: 10.12691/tjant-4-5-3.

Correspondence to: P.  O. Mohammed, Department of Mathematics, College of Education, Sulaimani University, Sulaimani, Kurdistan Region, Iraq. Email: pshtiwansangawi@gmail.com

Abstract

In this paper, we established some new Hermite-Hadamard-type inequalities for differentiable convex functions via Reimann-Liouville fractional integrals. Moreover, our results improve and extend the corresponding ones in the literature.

Keywords