Constantin P. Niculescu, Lars-Erik Persson

Convex Functions and Their Applications (eBook, PDF)

A Contemporary Approach

• Format: PDF

Produktdetails

• Verlag: Springer Nature Switzerland
• Seitenzahl: 415
• Erscheinungstermin: 8. Juni 2018
• Englisch
• ISBN-13: 9783319783376
• Artikelnr.: 52904291

Autorenporträt

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.

Inhaltsangabe

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.