Convex Functions and Their Applications

A Contemporary Approach

Constantin P. Niculescu, Lars-Erik Persson

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English

Springer International Publishing AG
12 March 2025

Discrete mathematics; Real analysis, real variables; Functional analysis & transforms; Geometry

Series: CMS/CAIMS Books in Mathematics

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.

By: Constantin P. Niculescu, Lars-Erik Persson
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: Third Edition 2025
Volume: 14
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9783031719660
ISBN 10: 3031719662
Series: CMS/CAIMS Books in Mathematics
Pages: 494
Publication Date: 12 March 2025
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active

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.

Constantin P. Niculescu is Professor Emeritus of Mathematics at the University of Craiova, Romania, and an honorary member of the ""Simion Stoilow"" Institute of Mathematics of the Romanian Academy. His research interests include convex analysis, functional analysis, real analysis, history, and heuristics of mathematics. He has authored several books and more than one hundred papers, for which he has been awarded several prizes for research and exposition. Lars-Erik Persson is Professor of Mathematics at UiT, The Arctic University of Norway, Senior Professor at Karlstad University, Sweden, and Professor Emeritus at Uppsala University, Sweden. He has been the President of the Swedish Mathematical Society His research interests include convex analysis, functional analysis, interpolation theory, Fourier analysis, inequalities and homogenization theory He has authored several books and around 250 papers. He has received several awards for research but also for supervision and teaching.