Displaying similar documents to “Concentration of mass on the Schatten classes”

On Majorization for Matrices

Khan, M. Adil, Latif, Naveed, Pecaric, J., Peric, I. (2013)

Mathematica Balkanica New Series

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In this paper, we give several results for majorized matrices by using continuous convex function and Green function. We obtain mean value theorems for majorized matrices and also give corresponding Cauchy means, as well as prove that these means are monotonic. We prove positive semi-definiteness of matrices generated by differences deduced from majorized matrices which implies exponential convexity and log-convexity of these differences and also obtain Lypunov's and Dresher's type inequalities...