Hermite-Hadamard type inequalities obtained via Riemann-Liouville fractional calculus

Flavia-Corina Mitroi, Marcela V. Mihai


We extend some inequalities obtained by M. A. Latif to the framework of Riemann-Liouville fractional calculus.

Full Text:



S. S. Dragomir, C. E. M. Pearce, Selected Topic on Hermite-Hadamard Inequalities and Applications, Melbourne and Adelaide, December, 2000.

R. Goreno, F. Mainardi, Fractional Calculus: Integral and Differential Equations of Frac-tional order, Springer Verlag, Wien, 1997.

H. Kavurmaci, M. Avci, M. E. Özdemir, New inequalities of Hermite-Hadamard type for convex functions with applications, arXiv: 1006.1593v1[math. CA].

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.

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.


  • There are currently no refbacks.