Norm Inequalities Related to the Heron and Heinz Means

被引：0
作者：
Yogesh Kapil
Cristian Conde
Mohammad Sal Moslehian
Mandeep Singh
Mohammad Sababheh
机构：
[1] Sant Longowal Institute of Engineering and Technology,Department of Mathematics
[2] Universidad Nacional de General Sarmiento,Instituto de Ciencias
[3] Instituto Argentino de Matemática “Alberto P. Calderón”,Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures (CEAAS)
[4] Ferdowsi University of Mashhad,Department of Mathematics
[5] University of Sharjah,Department of Basic Sciences
[6] Princess Sumaya University for Technology,undefined
来源：
Mediterranean Journal of Mathematics | 2017年 / 14卷
关键词：
Norm inequality; unitarily invariant norm; operator mean; Heinz inequality; normalized Jensen functional; 47A30; 47A63; 47A64; 15A60;
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学科分类号：
摘要：
In this article, we present several inequalities treating operator means and the Cauchy–Schwarz inequality. In particular, we present some new comparisons between operator Heron and Heinz means, several generalizations of the difference version of the Heinz means and further refinements of the Cauchy–Schwarz inequality. The techniques used to accomplish these results include convexity and Löwner matrices.
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