Kadakal, MahirAgarwal, PraveenIscan, Imdat2026-02-282026-02-2820251450-9628https://doi.org/10.46793/KgJMat2505.669Khttps://hdl.handle.net/20.500.12403/6207In this study, by using an integral identity together with both the H & ouml;lder and the power-mean inequalities for integrals we establish several new inequalities for differentiable arithmetic-harmonically-convex function. Also, we give some applications for special means.eninfo:eu-repo/semantics/openAccessConvex functionarithmetic-harmonically convex function Hermite-Hadamard's inequalitySOME NEW INEQUALITIES FOR DIFFERENTIABLE ARITHMETIC-HARMONICALLY CONVEX FUNCTIONSArticle49366967510.46793/KgJMat2505.669K2-s2.0-105018224789Q1WOS:001535009700001Q3