FRACTIONAL HERMITE HADAMARDS TYPE INEQUALITY FOR THE CO-ORDINATED CONVEX FUNCTIONSTUBA TUNC, MEHMET ZEKI SARIKAYA, HATICE YALDIZ (pp. 3-29)
Abstract.In this paper, we consider the co-ordinated convex functions and obtain some Hermite-Hadamard type inequalities via Riemann-Liouville fractional integrals. For this purpose, we first prove an supplement al result for two variables. Using this auxiliary result, integral inequalities for the left-hand side of the fractional Hermite-Hadamard type inequality on the coordinates are derived. These represent can be viewed as a refinement of the previously known results.
Keywords: Riemann-Liouville fractional integrals, convex function, co-ordinated convex mapping, Hermite-Hadamard inequality, Holders inequality.