<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 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783319783376 |
|
電子リソース |
|
EB00202594 |
類似資料
この資料の利用統計
このページへのアクセス回数:2回
※2017年9月4日以降