Gumus I.H.Taskara N.2020-03-262020-03-2620131312885Xhttps://hdl.handle.net/20.500.12395/30214In this paper, we prove a scalar inequality such that this inequality is an improvement of the classical arithmetic-geometric mean inequality.We obtain its matrix version and investigate Hilbert-Schmidt and trace norm of this matrix version. © 2013 I. Halil Gumus and Necati Taskara.eninfo:eu-repo/semantics/closedAccessArithmeticgeometric mean inequalityPositive semidefinite matrixUnitarily invariant normArticle729-3214391446N/A