Open Access Research

Improved Heinz inequality and its application

Limin Zou* and Youyi Jiang

Author Affiliations

School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404100, People's Republic of China

For all author emails, please log on.

Journal of Inequalities and Applications 2012, 2012:113 doi:10.1186/1029-242X-2012-113

Published: 23 May 2012

Abstract

We obtain an improved Heinz inequality for scalars and we use it to establish an inequality for the Hilbert-Schmidt norm of matrices, which is a refinement of a result due to Kittaneh.

Mathematical Subject Classification 2010: 26D07; 26D15; 15A18.

Keywords:
Heinz inequality; convex function; Hilbert-Schmidt norm