Kadakal, Huriye2024-10-042024-10-0420221225-293X2288-6176https://doi.org/10.5831/HMJ.2022.44.2.244http://hdl.handle.net/20.500.12403/3394In this work, by using an integral identity together with both the Holder and the power-mean integral inequalities we establish several new inequalities for n-times differentiable arithmetic-harmonically-convex function. Then, using this inequalities, we obtain some new inequalities connected with means. In special cases, the results obtained coincide with the well-known results in the literature.eninfo:eu-repo/semantics/closedAccessConvex functionHermite-Hadamard's inequalityHolder-Iscan inequalityImproved power mean inequalityArticle44224425810.5831/HMJ.2022.44.2.244WOS:000822821900008N/A