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000843491 019__ $$a1043885784$$a1044564533
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000843491 1001_ $$aNiculescu, Constantin,$$eauthor.
000843491 24510 $$aConvex functions and their applications :$$ba contemporary approach /$$cConstantin P. Niculescu, Lars-Erik Persson.
000843491 250__ $$a2nd ed.
000843491 264_1 $$aCham :$$bSpringer,$$c2018.
000843491 300__ $$a1 online resource (xvii, 415 pages)
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000843491 4901_ $$aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC,$$x1613-5237
000843491 5050_ $$aConvex Functions on Intervals -- Convex Sets in Real Linear Spaces -- Convex Functions on a Normed Linear Space -- Convexity and Majorization -- Convexity in Spaces of Matrices -- Duality and Convex Optimization -- Special Topics in Majorization Theory -- A. Generalized Convexity on Intervals -- B. Background on Convex Sets -- C. Elementary Symmetric Functions -- D. Second Order Differentiability of Convex Functions -- E. The Variational Approach of PDE.
000843491 506__ $$aAccess limited to authorized users.
000843491 520__ $$aThis second edition provides a thorough introduction to contemporary convex function theory with many new results. A large variety of subjects are covered, from the one real variable case to some of the most advanced topics. The new edition includes considerably more material emphasizing the rich applicability of convex analysis to concrete examples. Chapters 4, 5, and 6 are entirely new, covering important topics such as the Hardy-Littlewood-Pólya-Schur theory of majorization, matrix convexity, and the Legendre-Fenchel-Moreau duality theory. This book can serve as a reference and source of inspiration to researchers in several branches of mathematics and engineering, and it can also be used as a reference text for graduate courses on convex functions and applications.
000843491 650_0 $$aConvex functions.
000843491 650_0 $$aFunctional analysis.
000843491 650_0 $$aFunctions of real variables.
000843491 650_0 $$aConvex geometry.
000843491 650_0 $$aDiscrete geometry.
000843491 7001_ $$aPersson, Lars-Erik,$$d1944-$$eauthor.
000843491 77608 $$iPrint version: $$z9783319783369
000843491 830_0 $$aCMS books in mathematics.
000843491 852__ $$bebk
000843491 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-78337-6$$zOnline Access$$91397441.1
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