Convex Functions and Their Applications A Contemporary Approach /

• Κύριοι συγγραφείς: Niculescu, Constantin P. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Persson, Lars-Erik (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 2nd ed. 2018.
• Σειρά: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
• Θέματα: Functions of real variables.; Functional analysis.; Convex geometry .; Discrete geometry.; Real Functions.; Functional Analysis.; Convex and Discrete Geometry.

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 ap...

Πίνακας περιεχομένων:

• 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.