Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 571629, 5 pages
doi:10.1155/2010/571629
Research Article

On Several Matrix Kantorovich-Type Inequalities

Zhibing Liu,1,2 Linzhang Lu,1,3 and Kanmin Wang2

1School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
2Department of Mathematics, Jiujiang University, Jiujiang 332005, China
3School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, China

Received 5 September 2009; Revised 5 January 2010; Accepted 1 February 2010

Academic Editor: Stevo Stević

Copyright © 2010 Zhibing Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present several matrix Kantorovich-type inequalities, which improve the results obtained in Liu and Neudecker (1996). Elementary methods suffice to prove the inequalities.