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S.S. Dragomir, C.E.M. Pearce. Selected topics on Hermite-Hadamard inequalities and applications, RGMIA monographs, Victoria University, 2000. [Online: http://www.staff.vu.edu.au/RGMIA/monographs/hermite-hadamard.html].

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Article

Fractional Integral Inequalities via s-Convex Functions

1Atatürk University, K.K. Education Faculty, Department of Mathematics, 25240, Campus, Erzurum, Turkey

2Uludağ University, Education Faculty, Department of Mathematics, 16059, Bursa, Turkey

3Van Yüzüncü Yil University, Faculty of Education, Department of Mathematics Education, Van, Turkey


Turkish Journal of Analysis and Number Theory. 2017, Vol. 5 No. 1, 18-22
DOI: 10.12691/tjant-5-1-4
Copyright © 2017 Science and Education Publishing

Cite this paper:
Çetin Yildiz, M. Emіn Özdemіr, Havva Kavurmaci Önalan. Fractional Integral Inequalities via s-Convex Functions. Turkish Journal of Analysis and Number Theory. 2017; 5(1):18-22. doi: 10.12691/tjant-5-1-4.

Correspondence to: Çetin  Yildiz, Atatürk University, K.K. Education Faculty, Department of Mathematics, 25240, Campus, Erzurum, Turkey. Email: cetin@atauni.edu.tr

Abstract

In this paper, we establish several inequalities for s-convex mappings that are connected with the Riemann-Liouville fractional integrals. Our results have some relationships with certain integral inequalities in the literature.

Keywords