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.
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.