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Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means

<p/> <p>We prove positive semidefiniteness of matrices generated by differences deduced from majorization-type results which implies exponential convexity and log-convexity of these differences and also obtain Lyapunov's and Dresher's inequalities for these differences. We intr...

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Main Authors: Latif N, Pe&#269;ari&#263; J, Anwar M
格式: Artigo
語言:Inglês
出版: SpringerOpen 2010-01-01
叢編:Journal of Inequalities and Applications
在線閱讀:http://www.journalofinequalitiesandapplications.com/content/2010/728251
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