Some Hermite-Hadamard type inequalities obtain via Riemann-Liouville fractional calculus

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Published: Dec 11, 2013
DOI: https://doi.org/10.5556/j.tkjm.44.2013.1218
Keywords:
convex function Hermite-Hadamard inequality Riemann-Liouville fractional integrals.

Main Article Content

Marcela V. Mihai

Abstract

We provide some new Hermite-Hadamard type inequalities for functions whose derivatives in absolute value are convex, via Riemann-Liouville fractional integration.

Article Details

How to Cite
Mihai, M. V. (2013). Some Hermite-Hadamard type inequalities obtain via Riemann-Liouville fractional calculus. Tamkang Journal of Mathematics, 44(4), 411–416. https://doi.org/10.5556/j.tkjm.44.2013.1218
Issue
Vol. 44 No. 4 (2013)
Section
Papers
Author Biography

Marcela V. Mihai

University of Craiova, Department ofMathematics, Street A. I. Cuza 13, Craiova, RO-200585, Romania.

References

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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 34, 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.