03486nam 22006015 450 991030011390332120200706042555.03-319-78337-810.1007/978-3-319-78337-6(CKB)3810000000358844(DE-He213)978-3-319-78337-6(MiAaPQ)EBC6225079(PPN)229495125(EXLCZ)99381000000035884420180608d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierConvex Functions and Their Applications A Contemporary Approach /by Constantin P. Niculescu, Lars-Erik Persson2nd ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (XVII, 415 p.) CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,1613-52373-319-78336-X Convex 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.This 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.CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,1613-5237Functions of real variablesFunctional analysisConvex geometry Discrete geometryReal Functionshttps://scigraph.springernature.com/ontologies/product-market-codes/M12171Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Convex and Discrete Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21014Functions of real variables.Functional analysis.Convex geometry .Discrete geometry.Real Functions.Functional Analysis.Convex and Discrete Geometry.515.7Niculescu Constantin Pauthttp://id.loc.gov/vocabulary/relators/aut721175Persson Lars-Erikauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910300113903321Convex Functions and Their Applications1933896UNINA