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Convex Functions and Their Applications: A Contemporary Approach de Constantin P. Niculescu

Convex Functions and Their Applications: A Contemporary Approach: CMS Books in Mathematics

Autor Constantin P. Niculescu, Lars-Erik Persson
en Limba Engleză Paperback – 11 ian 2019
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.
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Specificații

ISBN-13: 9783030086794
ISBN-10: 3030086798
Pagini: 415
Ilustrații: XVII, 415 p.
Dimensiuni: 155 x 235 mm
Greutate: 0.61 kg
Ediția:Softcover reprint of the original 2nd ed. 2018
Editura: Springer International Publishing
Colecția Springer
Seria CMS Books in Mathematics

Locul publicării:Cham, Switzerland

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.

Notă biografică

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.

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