Article ID Journal Published Year Pages File Type
4603214 Linear Algebra and its Applications 2007 7 Pages PDF
Abstract

In this paper we consider weighted arithmetic and geometric means of higher orders constructed by the symmetrization method appeared in Ando–Li–Mathias’s definition of multi-variable geometric means and the arithmetic–geometric mean inequality of higher order weighted version. We establish a converse inequality of higher order weighed arithmetic and geometric means via Specht ratio.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory