On Hermite-Hadamard-Fejer type inequalities without symmetry condition and applications

Abstract

In this paper, with a new approach, a new Hermite-Hadamard-Fejerinequalities without symmetry condition for convex functions is obtained byusing not only Riemann integrals but also the Riemann-Liouville fractionalintegral. Also, to have new fractional trapezoid and midpoint typeinequalities for the differentiable convex functions, some new equalitiesare proved. Additionally, we will provide some examples of special casesthat arise from these inequalities.