Hermite-Hadamard type inequalities obtained via Riemann-Liouville fractional calculus
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Abstract
We extend some inequalities obtained by M. A. Latif to the framework of Riemann-Liouville fractional calculus.
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Mitroi, F., & Mihai, M.
(2014).
Hermite-Hadamard type inequalities obtained via Riemann-Liouville fractional calculus.
Acta Mathematica Universitatis Comenianae, 83(2), 209-215.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/88/71
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References
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[2] R. Goreno, F. Mainardi, Fractional Calculus: Integral and Differential Equations of Frac-tional order, Springer Verlag, Wien, 1997.
[3] H. Kavurmaci, M. Avci, M. E. Özdemir, New inequalities of Hermite-Hadamard type for convex functions with applications, arXiv: 1006.1593v1[math. CA].
[4] M. A. Latif, New inequalities of Hermite-Hadamard type for functions whose derivatives in absolute value are convex with applications, RGMIA Research Report Collection, 15 (2012), Article 35, 13 pp.
[5] C. P. Niculescu, L.-E. Persson, Convex Functions and their Applications. A Contemporary Approach. CMS Books in Mathematics vol. 23, Springer-Verlag, New York, 2006.