Refinements of the Heinz inequalities
Tóm tắt
This article aims to discuss Heinz inequalities involving unitarily invariant norms. We obtain refinements of the Heinz inequalities. In particular, our results refine some results given in Kittaneh.
Tài liệu tham khảo
Bhatia R, Davis C: More matrix forms of the arithmeticgeometric mean inequality. SIAM J Matrix Anal Appl 1993, 14: 132–136. 10.1137/0614012
Kittaneh F: On the convexity of the Heinz means. Integ Equ Oper Theory 2010, 68: 519–527. 10.1007/s00020-010-1807-6
Bullen PS: A Dictionary of Inequalities. In Pitman Monographs and Surveys in Pure and Applied Mathematics. Volume 97. Addison Wesley Longman Ltd., U.K; 1998.