Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 291984, 9 pages
Research Article

Several Matrix Euclidean Norm Inequalities Involving Kantorovich Inequality

College of Mathematics and Physics, Chongqing University, Chongqing 400030, China

Received 21 April 2009; Accepted 4 August 2009

Academic Editor: Andrei Volodin

Copyright © 2009 Litong Wang and Hu Yang. 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.


Kantorovich inequality is a very useful tool to study the inefficiency of the ordinary least-squares estimate with one regressor. When regressors are more than one statisticians have to extend it. Matrix, determinant, and trace versions of it have been presented in the literature. In this paper, we provide matrix Euclidean norm Kantorovich inequalities.