Some integral inequalities of the Hadamard and Fejér-Hadamard type via generalized fractional integral operator. (English) Zbl 1424.26020
Summary: In this paper, we give the Hadamard and the Fejér-Hadamard type integral inequalities for convex and relative convex functions by involving a generalization of the Riemann-Liouville fractional integral. Also, some connections with known results have been obtained.
MSC:
| 26A51 | Convexity of real functions in one variable, generalizations |
| 26A33 | Fractional derivatives and integrals |
| 33E12 | Mittag-Leffler functions and generalizations |
| 26D15 | Inequalities for sums, series and integrals |
