Overview
- 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
Part of the book series: CMS Books in Mathematics (CMSBM)
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Table of contents (7 chapters)
Keywords
About this book
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.
Authors and Affiliations
About the authors
Constantin P. Niculescu is professor emeritus at the University of Craiova, Romania, and a member of the Academy of Romanian Scientists. He received his Ph.D. from the University of Bucharest in 1974. He published more than one hundred papers and several books in functional analysis, operator theory, convex analysis, ergodic theory, history and heuristics of mathematics and has received several prizes both for research and exposition.
Lars-Erik Persson is a Professor of Mathematics at Luleå University of Technology, Sweden, and also at UiT, The Artic University of Norway. He is honorary Professor at Eurasian National University, Kazakhstan, and he has served as President of the Swedish Mathematical Society. He received his doctorate from Umeå University in 1974. Dr. Persson has published around 300 papers on functional analysis, interpolation of operators, Fourier analysis, function theory, inequalities and homogenization theory. He has been a supervisor for 62students with PhD exams and he has received several awards both for research and teaching.
Bibliographic Information
Book Title: Convex Functions and Their Applications
Book Subtitle: A Contemporary Approach
Authors: Constantin P. Niculescu, Lars-Erik Persson
Series Title: CMS Books in Mathematics
DOI: https://doi.org/10.1007/978-3-319-78337-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-78336-9Published: 20 June 2018
Softcover ISBN: 978-3-030-08679-4Published: 11 January 2019
eBook ISBN: 978-3-319-78337-6Published: 08 June 2018
Series ISSN: 1613-5237
Series E-ISSN: 2197-4152
Edition Number: 2
Number of Pages: XVII, 415
Topics: Real Functions, Functional Analysis, Convex and Discrete Geometry