Convex functions and their applications : a contemporary approach /

Convex functions and their applications : a contemporary approach /

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Bibliographic Details
Author / Creator:	Niculescu, Constantin, author.
Edition:	Second edition.
Imprint:	Cham : Springer, 2018.
Description:	1 online resource (xvii, 415 pages)
Language:	English
Series:	CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, 1613-5237 CMS books in mathematics,
Subject:	Convex functions. Functional analysis. Functions of real variables. Convex geometry. Discrete geometry. Convex functions. Convex geometry. Discrete geometry. Functional analysis. Functions of real variables.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11664152

Hidden Bibliographic Details
Other authors / contributors:	Persson, Lars-Erik, 1944- author.
ISBN:	9783319783376 3319783378 9783319783369 331978336X
Digital file characteristics:	text file PDF
Summary:	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.
Other form:	Printed edition: 9783319783369
Standard no.:	10.1007/978-3-319-78337-6

Table of Contents:

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.