In this paper, we provide a new and simple proof for joint convexity and concavity of some known trace functions due to Bekjan. Indeed, we will do this by making use of the operator monotone functions and perspective of convex function.
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Title
ON JOINT CONVEXITY AND CONCAVITY OF SOME KNOWN TRACE FUNCTIONS
Creators - without role
Mohammad Bagher Ghaemi - Supreme Council Of Health
Nahid Gharakhanlu - Supreme Council Of Health
Yoel Je Cho - Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
2014R1A2A2A01002100 / Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Science, ICT and future Planning