Extensions of the Hermite-Hadamard inequality for convex functions via fractional integrals. (English) Zbl 1339.26043
Summary: The main aim of this paper is to give extension and refinement of the Hermite-Hadamard inequality for convex functions via Riemann-Liouville fractional integrals. We show how to relax the convexity property of the function \(f\). Obtained results in this work involve a larger class of functions.
MSC:
26D15 | Inequalities for sums, series and integrals |
26A51 | Convexity of real functions in one variable, generalizations |