Convexity, Optimization and Approximation, with some Applications : Applied optimization and approximation

ISBN-13: 9786139876839 / Angielski / Miękka / 2018 / 204 str.

Octav Olteanu; Savin Treanta

Opis

The present book has didactic and scientific content. In the first two chapters (no.0 and 1), some basic results in convex analysis, optimization and approximation on finite dimensional spaces are recalled. Elements of integral representation and approximation on infinite dimensional spaces are briefly discussed as well. A few related results in functional analysis are applied. Chapter 2 is devoted to the classical theory of the Calculus of Variations. In chapter 3, Markov moment problem and its relationship with other fields is the main subject. The proofs are based on results in functional analysis. The second part of the book (chapters 4, 5 and 6) may be useful to any reader interested in multidimensional (scalar and multiobjective) optimization problems. Furthermore, the theoretical aspects developed in this part are illustrated with some real-life applications. Examples, exercises and/or applications are presented in each chapter of this book.

O autorze

Olteanu, Octav
Prof. PhD Octav Olteanu: mathematical analysis; functional analysis; the moment problem; polynomial approximation on unbounded subsets; convexity. Over 74 published journal articles and 17 books. Prof. PhD Savin Treanta: Optimization; Control Theory; Geometric PDEs; Information Theory. Over 25 published scientific works.