Titlebook: Convex Functions and Their Applications; A Contemporary Appro Constantin P. Niculescu,Lars-Erik Persson Textbook 20182nd edition Springer I

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Convex Functions on a Normed Linear Space,economics, and geometric inequalities related to isoperimetric problems. This chapter is devoted to a succinct presentation of their theory in the context of . normed linear spaces, but most of the illustrations will refer to the Euclidean space . the matrix space . of all .-dimensional real matrice

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Duality and Convex Optimization,approach of many concrete problems. The diet problem, the transportation problem, and the optimal assignment problem are among the many problems that during the Second World War and immediately after led L. Kantorovich, T. C. Koopmans, F. L. Hitchcock, and G. B. Danzig to develop the mathematical th

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Special Topics in Majorization Theory,ulescu (Math Inequal Appl 5(3):479–489, 2002, [356]), Niculescu (Math Inequal Appl 5(4):619–623, 2002, [357]) (during the conference . 2001, in Timi?oara), this connection led him to a partial extension of the majorization theory beyond the classical case of probability measures, using the so-called

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