Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 245767, 6 pages
doi:10.1155/2011/245767
Research Article

A Note on Kantorovich Inequality for Hermite Matrices

Zhibing Liu,1,2 Kanmin Wang,2 and Chengfeng Xu2

1School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
2Department of Mathematics, Jiujiang University, Jiujiang 332005, China

Received 10 November 2010; Accepted 19 February 2011

Academic Editor: Sin E. Takahasi

Copyright © 2011 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

A new Kantorovich type inequality for Hermite matrices is proposed in this paper. It holds for the invertible Hermite matrices and provides refinements of the classical results. Elementary methods suffice to prove the inequality.