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
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.