Gulsu, Nagihan kurtIscan, ImdatKadakal, MahirBekar, Kerim2026-02-282026-02-2820241844-95812068-3049https://doi.org/10.46939/J.Sci.Arts-24.4-a08https://hdl.handle.net/20.500.12403/6209In this paper, the concept of Hg-convex function is given for the first time in the literature. Some inequalities of Hadamard's type for Hg-convex functions are given. Some algebraic properties of Hg-convex functions and special cases are discussed. In addition, we establish some new integral inequalities for Hg-convex functions by using an integral identity.eninfo:eu-repo/semantics/openAccessConvex functionHg-convexHermite-Hadamard inequalityArticle485586610.46939/J.Sci.Arts-24.4-a08WOS:001386506200008Q4