Refinements of the Heinz inequalities for matrices

Journal of inequalities and applications

Yanxiong Yan¹ 

关键词: convex function;    Heinz inequality;    Hermite-Hadamard inequality;    unitarily invariant norm;   

DOI  :  10.1186/1029-242X-2014-50

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This article aims to discuss Heinz inequalities involving unitarily invariant norms. We use a similar method to (Feng in J. Inequal. Appl. 2012:18, 2012; Wang in J. Inequal. Appl. 2013:424, 2013) and we get different refinements of the Heinz inequalities for matrices. Our results are better than some given in (Kittaneh in Integral Equ. Oper. Theory 68:519-527, 2010) and they are different from (Feng in J. Inequal. Appl. 2012:18, 2012; Wang in J. Inequal. Appl. 2013:424, 2013).

【 授权许可】

CC BY