Generalization of some inequalities via Riemann-Liouville fractional calculus

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Published: Jun 30, 2014
DOI: https://doi.org/10.5556/j.tkjm.45.2014.1545
Keywords:
convex functions Hermite-Hadamard Riemann-Liouville fractional integrals

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Mihai V. Marcela
Ion Dan-Alexandru

Abstract

Some Hermite-Hadamard type inequalities are provided. We deal with functions whose derivatives in absolute value are convex or concave. By defining two cumulative gaps which enable us to generalize known rezults in the framework of Riemann-Liouville fractional calculus, we open a new perspective on the classic statement of the inequality.

Article Details

How to Cite
Marcela, M. V., & Dan-Alexandru, I. (2014). Generalization of some inequalities via Riemann-Liouville fractional calculus. Tamkang Journal of Mathematics, 45(2), 207–215. https://doi.org/10.5556/j.tkjm.45.2014.1545
Issue
Vol. 45 No. 2 (2014)
Section
Papers
Author Biographies

Mihai V. Marcela

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

Ion Dan-Alexandru

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

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