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

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Textbook 20182nd editionvered, from the one real variable case to some of the most advanced topics.  The new edition includes considerably more material emphasizing the rich applicability of convex analysis to concrete examples.  Chapters 4, 5, and 6 are entirely new, covering important topics such as the Hardy-Littlewood-

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Special Topics in Majorization Theory,consequence, one obtains the extension of the left-hand side of Hermite–Hadamard double inequality to a context involving signed Borel measures on arbitrary compact convex sets. A similar extension of the right-hand side of this inequality is known only in dimension 1, the higher dimensional case being still open.

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Convex Functions on a Normed Linear Space,text of . normed linear spaces, but most of the illustrations will refer to the Euclidean space . the matrix space . of all .-dimensional real matrices (endowed with the Hilbert–Schmidt norm or with the operator norm), and the Lebesgue spaces . with ..

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