Improved Heinz inequality and its application
School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404100, People's Republic of China
Journal of Inequalities and Applications 2012, 2012:113 doi:10.1186/1029-242X-2012-113Published: 23 May 2012
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.