Generalizations of some fractional integral inequalities for m-convex functions via generalized Mittag-Leffler function
- 9 March 2018
- journal article
- research article
- Published by Babes-Bolyai University in Studia Universitatis Babes-Bolyai Matematica
- Vol. 63 (1), 23-35
- https://doi.org/10.24193/subbmath.2018.1.02
Abstract
In this paper we are interested to present some general fractional integral inequalities for m-convex functions by involving generalized Mittag-Leffler function. In particular we produce inequalities for several kinds of fractional integrals. Also these inequalities have some connections with known integral inequalities.Keywords
This publication has 3 references indexed in Scilit:
- New mean value theorems and generalization of Hadamard inequality via coordinated m-convex functionsJournal of Inequalities and Applications, 2015
- Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalitiesMathematical and Computer Modelling, 2013
- Fractional calculus with an integral operator containing a generalized Mittag–Leffler function in the kernelApplied Mathematics and Computation, 2009