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Convex functions and their applications : a contemporary aontemporary Approach
- 作者： Niculescu, Constantin P., author.
- 其他作者：
- 其他題名：
- CMS books in mathematics, ouvrages de mathematiques de la SMC.
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 版本：Second edition.
- 叢書名： CMS books in mathematics, ouvrages de mathematiques de la SMC,
- 主題： Convex functions. , Functional analysis. , Functions of real variables. , Convex geometry. , Discrete geometry. , Mathematics. , Real Functions. , Functional Analysis. , Convex and Discrete Geometry.
- ISBN： 9783319783376 (electronic bk.) 、 9783319783369 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: 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.
- 摘要註: 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-Polya-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.
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讀者標籤：
- 系統號： 005432408 | 機讀編目格式
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