Journal of Inequalities and Applications (Jan 2011)

A Note on Kantorovich Inequality for Hermite Matrices

  • Wang Kanmin,
  • Xu Chengfeng,
  • Liu Zhibing

Journal volume & issue
Vol. 2011, no. 1
p. 245767

Abstract

Read online

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.