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＜電子ブック＞
Convex Functions and Their Applications : A Contemporary Approach / by Constantin P. Niculescu, Lars-Erik Persson
(CMS Books in Mathematics, Ouvrages de mathématiques de la SMC. ISSN:21974152)

版	2nd ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2018
大きさ	XVII, 415 p : online resource
著者標目	*Niculescu, Constantin P author Persson, Lars-Erik author SpringerLink (Online service)
件　名	LCSH:Functions of real variables LCSH:Functional analysis LCSH:Convex geometry  LCSH:Discrete geometry FREE:Real Functions FREE:Functional Analysis FREE:Convex and Discrete Geometry
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-78337-6

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