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Convex Functions and Their Applications de Constantin P. Niculescu

Convex Functions and Their Applications: CMS/CAIMS Books in Mathematics, cartea 14

Autor Constantin P. Niculescu, Lars-Erik Persson
en Limba Engleză Hardback – 12 mar 2025
This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years.
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Specificații

ISBN-13: 9783031719660
ISBN-10: 3031719662
Pagini: 516
Dimensiuni: 160 x 241 x 34 mm
Greutate: 0.88 kg
Ediția:Third Edition 2025
Editura: Springer
Colecția CMS/CAIMS Books in Mathematics
Seria CMS/CAIMS Books in Mathematics

Notă biografică

Sorin G. Gal was a Professor Emeritus at University of Oradea, Romania. His research focused on real and complex analysis and approximation theory (in real, complex and quaternionic setting). He has published over 310 scientific articles in journals, ten books with prestigious international publishers and is associate managing editor of the journal Results in Mathematics.

Constantin P. Niculescu is Professor Emeritus at University of Craiova, Romania. His research focuses on real analysis, convexity, operator theory, ergodic theory and dynamical systems. He has published over 150 scientific articles, three books with prestigious international publishers and serves as associate editor of the journals Math. Inequalities and Appl., Aequationes Mathematicae and Proceedings of the Romanian Academy Series A: Mathematics, Physics, Technical Sciences, Information Science.

Cuprins

Convex Functions on Intervals.- Convex Sets in Real Linear Spaces.- Convex Functions on a Normed Linear Space.- Convexity and Majorization.- Convexity in Spaces of Matrices.- Duality and Convex Optimization.- Special Topics in Majorization Theory.- A. Generalized Convexity on Intervals.- B. Background on Convex Sets.- C. Elementary Symmetric Functions.- D. Second Order Differentiability of Convex Functions.- E. The Variational Approach of PDE.

Textul de pe ultima copertă

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.

Caracteristici

Contains applications in mathematics, engineering, economics, and optimization theory Can be used as a research monograph or a graduate textbook Thorough update of reference list