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    On the Hermite-Hadamard's and Ostrowski's inequalities for the co-ordinated convex functions
    (Biska Bilişim, 2017) Erden, Samet; Sarikaya, Mehmet Zeki
    In this paper, we give new some inequalities of Hermite-Hadamard's and Ostrowski's type for convex functions on the co-ordinates defined in a rectangle from the plane. Our established results generalize some recent results for functions whose partial derivatives in absolute value are convex on the co-ordinates on the rectangle from the plane.
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    Refinements Jensen's Inequality and Some Their Applications
    (Mehmet Zeki SARIKAYA, 2024) Sarikaya, Mehmet Zeki
    This paper aims to present a new refinement of the Jensen inequality specifically for convex functions. Building on this refinement, the paper derives various related inequalities, with a particular focus on Bullen's inequality and Ostrowski's inequality. Furthermore, it explores practical applications of these derived inequalities in the context of mean inequalities, providing a deeper understanding and broader utility of these mathematical concepts.