Convex Functions and Their Applications
A Contemporary Approach
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Beschreibung
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.
Contains applications in mathematics, engineering, economics, and optimization theory Can be used as a research monograph or a graduate textbook Thorough update of reference list
Autor*in
Constantin P. Niculescu
Themen in »Convex Functions and Their Applications«
Convex Function Convex Set Eigenvalue Inequalities Hyperbolicity Matrix Convexity Geodesic Convexity Duality and Convex Optimization