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  • MakaleAçık Erişim2023
    STRONGLY HYPERBOLIC TYPE CONVEXITY AND SOME NEW INEQUALITIES

    Kadakal, Huriye; Kadakal, Mahir

    In this study, we introduce and study the concept of strongly hyperbolic type convexity functions and their some algebraic properties. We obtain Hermite-Hadamard type inequalities for the strongly hyperbolic type convex functions. After that, by using an identity, we get some inequalities for strongly hyperbolic type convex functions. In addition, we compare the results obtained with both Holder, Holder-Iscan inequalities and power-mean, improved power-mean integral inequalities.

    AtıfWoS2OpenAlex2
    Web of Scienceİncele
  • MakaleAçık Erişim2022
    Strongly n-polynomial convexity and related inequalities

    Ataman, Canan; Kadakal, Mahir; İşcan, İmdat

    In this paper, we introduce and study the concept of strongly n-polynomial convexity functions and their some algebraic properties. We prove two Hermite-Hadamard type inequalities for the newly introduced class of functions. In addition, we obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is strongly n-polynomial convexity. Also, we compare the obtained results with both Hölder, Hölder-İşcan inequalities and power-mean, improved-power-mean integral inequalities and show that the result obtained with Hölder-İşcan and improved power-mean inequalities give better approach than the others.

    AtıfScopus4OpenAlex4
    Scopusİncele