Niculescu / Persson Convex Functions and Their Applications

A Contemporary Approach
2. Auflage 2018
ISBN: 978-3-319-78337-6
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 415 Seiten, eBook

Reihe: Mathematics and Statistics (R0)

Thorough introduction to an important area of mathematics

Contains recent results

Includes many exercises

Zielgruppe

Graduate

Autoren/Hrsg.

Niculescu, Constantin P.

Persson, Lars-Erik

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.

Über Autor(innen)

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 62 students with PhD exams and he has received several awards both for research and teaching.