Convex Functions and Their Applications

A Contemporary Approach

Constantin Niculescu, Lars-Erik Persson - Collection CMS Books in Mathematics

256 pages, parution le 09/01/2006

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Résumé

Convex functions play an important role in almost all branches of mathematics as well as other areas of science and engineering. This book is a thorough introduction to contemporary convex function theory addressed to all people whose research or teaching interests intersect with the field of convexity. It covers a large variety of subjects, from the one real variable case (with all its mathematical gems) to some of the most advanced topics such as Choquet's theory, the Prékopa-Leindler type inequalities and their ramifications, as well as the variational approach of partial differential equations and convex programming. Many results are new and the whole book reflects the authors' own experience, both in teaching and research. The 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 for graduate courses.

Written for: Graduate mathematics students; mathematicians

Sommaire

Convex Functions on Intervals
Comparative Convexity on Intervals
Convex Functions on a Normed Linear Space
Choquet's Theory and Beyond

A. Background on Convex Sets
B. Elementary Symmetric Functions
C. The Variational Approach of PDE
D. Horn's Conjecture

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Constantin Niculescu, Lars-Erik Persson
Collection	CMS Books in Mathematics
Parution	09/01/2006
Nb. de pages	256
Format	16 x 24
Couverture	Relié
Poids	515g
Intérieur	Noir et Blanc
EAN13	9780387243009
ISBN13	978-0-387-24300-9