Some new refinements of Heinz inequalities of matrices

Journal of inequalities and applications

Shaoheng Wang¹ 

关键词: new refinements;    Heinz inequality;    convex function;    unitarily invariant norm;   

DOI  :  10.1186/1029-242X-2013-424

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Firstly, a new refinement of the Heinz inequality is given. Then, by using the inequality, some new refinements of Heinz inequalities of matrices are given. Lastly, we declare that the results are better than the ones in (Kittaneh in Integral Equ. Oper. Theory 68:519-527, 2010), but we cannot say that our results are better than the ones in (Feng in J. Inequal. Appl. 2012:18, 2012, doi:10.1186/1029-242X-2012-18).

【 授权许可】

CC BY