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.
• Φυσική περιγραφή: XVII, 415 p. online resource.
• ISBN: 9783319783376
• ISSN: 1613-5237
• DOI: 10.1007/978-3-319-78337-6

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.