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Convex Functions and Their Applications : A Contemporary Approach / / by Constantin P. Niculescu, Lars-Erik Persson



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Autore: Niculescu Constantin P Visualizza persona
Titolo: Convex Functions and Their Applications : A Contemporary Approach / / by Constantin P. Niculescu, Lars-Erik Persson Visualizza cluster
Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025
Edizione: 3rd ed. 2025.
Descrizione fisica: 1 online resource (949 pages)
Disciplina: 515.8
Soggetto topico: Functions of real variables
Functional analysis
Convex geometry
Discrete geometry
Real Functions
Functional Analysis
Convex and Discrete Geometry
Funcions de variables reals
Anàlisi funcional
Geometria convexa
Geometria discreta
Soggetto genere / forma: Llibres electrònics
Altri autori: PerssonLars-Erik  
Nota di contenuto: Convex Functions at a First Glance -- More on Convex Functions on Intervals -- Convex Sets in Real Linear Spaces -- Convex Functions on a Normed Linear Space -- Differentiable Convex Functions. 6. Convexity and Majorization -- Convexity in Spaces of Matrices -- Convexity in Spaces of Matrices -- Duality and Convex Optimization -- Special Topics in Majorization Theory. Appendices -- Generalized Convexity on Intervals -- Background on Convex Sets -- Elementary Symmetric Functions -- Second Order Differentiability of Convex Functions -- The Variational Approach of PDE.
Sommario/riassunto: This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years. These additions are essential for grasping the practical applications of convex function theory in solving contemporary real-world problems. To reflect these advancements, the material has been meticulously reorganized, with a greater emphasis on topics relevant to current research. Additionally, great care has been taken to ensure that the text remains accessible to a broad audience, including both students and researchers focused on the application of mathematics. Ideal for undergraduate courses, graduate seminars, or as a comprehensive reference, this book is an indispensable resource for those seeking to understand the extensive potential of convex function theory. In addition, this book: Can be used both as a research monograph or a graduate textbook Covers a vast array of various aspects, generalizations, applications and new research connected to convexity Contains in each subsection exercises which are useful both in courses and as a source of inspiration for new research.
Titolo autorizzato: Convex Functions and Their Applications  Visualizza cluster
ISBN: 9783031719677
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910986136003321
Lo trovi qui: Univ. Federico II
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Serie: CMS/CAIMS Books in Mathematics, . 2730-6518 ; ; 14