Generalizations of some Hermite-Hadamard-Fejér type inequalities for \(p\)-convex functions via generalized fractional integrals. (English) Zbl 1488.26097
Summary: In this paper firstly we obtain a version of the Hermite-Hadamard-Fejér inequality for \(p\)-convex functions via generalized fractional integral operator. Secondly we construct an integral identity and some Hermite-Hadamard-Fejér type integral inequalities for \(p\)-convex functions via generalized fractional integral operator. Being generalizations, we also deduce some known results.
MSC:
26D15 | Inequalities for sums, series and integrals |
26A33 | Fractional derivatives and integrals |
26A51 | Convexity of real functions in one variable, generalizations |
33E12 | Mittag-Leffler functions and generalizations |