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Convex Functions and Their Applications : A Contemporary Approach

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概要 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 t...he 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.続きを見る
目次 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.
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本文を見る Full text available from Springer Mathematics and Statistics eBooks 2018 English/International

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登録日 2020.06.27
更新日 2020.06.28