Refinements of the Heinz inequalities for matrices

被引：0
作者：
Yanxiong Yan
Yuming Feng
Guiyun Chen
机构：
[1] Southwest University,School of Mathematics and Statistics
[2] Chongqing University of Education,Department of Mathematics and Information Engineering
[3] Southwest University,School of Electronic Information Engineering
来源：
Journal of Inequalities and Applications | / 2014卷
关键词：
convex function; Heinz inequality; Hermite-Hadamard inequality; unitarily invariant norm;
D O I：
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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).
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共 3 条
  • [1] Bhatia R(1993)More matrix forms of the arithmetic-geometric mean inequality SIAM J. Matrix Anal. Appl 14 132-136
  • [2] Davis C(2010)On the convexity of the Heinz means Integral Equ. Oper. Theory 68 519-527
  • [3] Kittaneh F(undefined)undefined undefined undefined undefined-undefined
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