| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910986136003321 |
|
|
Autore |
Niculescu Constantin P |
|
|
Titolo |
Convex Functions and Their Applications : A Contemporary Approach / / by Constantin P. Niculescu, Lars-Erik Persson |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[3rd ed. 2025.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (949 pages) |
|
|
|
|
|
|
Collana |
|
CMS/CAIMS Books in Mathematics, , 2730-6518 ; ; 14 |
|
|
|
|
|
|
Altri autori (Persone) |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
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 |
Llibres electrònics |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
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. |
|
|
|
|
|
| |