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Cover: 9783030086794 | Convex Functions and Their Applications | A Contemporary Approach
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Convex Functions and Their Applications
A Contemporary Approach
Taschenbuch von Lars-Erik Persson (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

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.

Zusammenfassung

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2019
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: CMS Books in Mathematics
Inhalt: xvii
415 S.
ISBN-13: 9783030086794
ISBN-10: 3030086798
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Persson, Lars-Erik
Niculescu, Constantin P.
Auflage: Softcover reprint of the original 2nd ed. 2018
Hersteller: Springer International Publishing
Springer International Publishing AG
CMS Books in Mathematics
Maße: 235 x 155 x 24 mm
Von/Mit: Lars-Erik Persson (u. a.)
Erscheinungsdatum: 11.01.2019
Gewicht: 0,657 kg
Artikel-ID: 116772970
Über den Autor

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.

Zusammenfassung

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2019
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: CMS Books in Mathematics
Inhalt: xvii
415 S.
ISBN-13: 9783030086794
ISBN-10: 3030086798
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Persson, Lars-Erik
Niculescu, Constantin P.
Auflage: Softcover reprint of the original 2nd ed. 2018
Hersteller: Springer International Publishing
Springer International Publishing AG
CMS Books in Mathematics
Maße: 235 x 155 x 24 mm
Von/Mit: Lars-Erik Persson (u. a.)
Erscheinungsdatum: 11.01.2019
Gewicht: 0,657 kg
Artikel-ID: 116772970
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