Browsing by Author "Kadakal, Huriye"

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    (alpha,m1,m2)-convexity and some inequalities of Hermite-Hadamard type
    (Ankara Üniversitesi Fen Fakültesi, 2019-08-01) Kadakal, Huriye; Other; Other
    In this paper, we introduce a new class of extended (alpha;m1;m2)-convex functions. Some algebraic properties of these class functions have been investigated. Some new Hermite-Hadamard type inequalities are derived. Results represent signicant refinement and improvement of the previous results. Also, the author establish a new integral identity and, by this identity, Hölder's and power mean inequality, discover some new Hermite-Hadamard type inequalities for functions whose first derivatives are (alpha;m1;m2)-convex. Our results are new and coincide with the previous results in special cases.
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    On two times differentiable preinvex and prequasiinvex functions
    (Ankara Üniversitesi Fen Fakültesi, 2019-02-01) İşcan, İmdat; Kadakal, Mahir; Kadakal, Huriye; Other; Other
    The main goal of this paper is to establish a new identity for functions defined on an open invex subset of real numbers. By using this identity, the Hölder integral inequality and power mean integral inequality, we introduce some new type integral inequalities for functions whose powers of second derivatives in absolute values are preinvex and prequasiinvex.