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The simplest proof of Lieb concavity theorem
Authors:Ismail Nikoufar  Ali Ebadian  Madjid Eshaghi Gordji
Institution:1. Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran;2. Department of Mathematics, Urmia University, Urmia, Iran;3. Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
Abstract:In this paper, by applying jointly concavity and jointly convexity of generalized perspective of some elementary functions, we give the simplest proof of the well-known Lieb concavity theorem and Ando convexity theorem.
Keywords:81P45  15A39  15A42  47A63  81R15
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