Cargando…
Optimization in function spaces : with stability considerations in Orlicz spaces /
This is an essentially self-contained book on the theory of convex functions and convex optimization in Banach spaces, with a special interest in Orlicz spaces. Approximate algorithms based on the stability principles and the solution of the corresponding nonlinear equations are developed in this te...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; New York :
De Gruyter,
2011.
|
| Colección: | De Gruyter series in nonlinear analysis and applications ;
13. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | This is an essentially self-contained book on the theory of convex functions and convex optimization in Banach spaces, with a special interest in Orlicz spaces. Approximate algorithms based on the stability principles and the solution of the corresponding nonlinear equations are developed in this text. A synopsis of the geometry of Banach spaces, aspects of stability and the duality of different levels of differentiability and convexity is developed. And it is provided a novel approach to the fundamental theorems of Variational Calculus based on the principle of pointwise minimization of the Lagrangian on the one hand and convexification by quadratic supplements using the classical Legendre-Ricatti equation on the other. The reader should be familiar with the concepts of mathematical analysis and linear algebra. Some awareness of the principles of measure theory will turn out to be helpful. The book is suitable for students of the second half of undergraduate studies, and it provides a rich set of material for a master course on linear and nonlinear functional analysis. Additionally it offers novel aspects at the advanced level. |
|---|---|
| Descripción Física: | 1 online resource (xiv, 388 pages) : illustrations |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9783110250213 3110250217 1283166348 9781283166348 3110250209 9783110250206 |
| ISSN: | 0941-813X ; |