Book Details


Convex Functions and Their Applications

Publication year: 2018

ISBN: 978-3-319-78337-6

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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.

Subject: Mathematics and Statistics, Convex Function, Convex Set, Eigenvalue Inequalities, Hyperbolicity, Matrix Convexity, Geodesic Convexity, Duality and Convex Optimization, Real Functions, Functional Analysis, Convex and Discrete Geometry