Volume no :1, Issue no: 2, August 2008

Journal of Mathematical Sciences: Advances and Applications

MATRIX VERSIONS OF SOME REFINEMENTS OF THE ARITHMETIC-GEOMETRIC MEAN INEQUALITY

Author's: BAO QI FENG and ANDREW TONGE
Pages: [243] - [264]
Received Date: March 15, 2008
Submitted by:

Abstract

We establish matrix versions of refinements due to Alzer [1], Cartwright and Field [4], and Mercer [5] of the standard arithmetic-geometric-harmonic mean inequality for scalars.

Keywords

arithmetic mean, geometric mean, harmonic mean, positive matrix.