Contents V.11, N.1, 2020

  • FRACTIONAL HERMITE HADAMARDS TYPE INEQUALITY FOR THE CO-ORDINATED CONVEX FUNCTIONS
    TUBA 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.

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