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Convex functions and their applications = a contemporary aontemporary Approach /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Convex functions and their applications/ by Constantin P. Niculescu, Lars-Erik Persson.
Reminder of title:	a contemporary aontemporary Approach /
Author:	Niculescu, Constantin P.
other author:	Persson, Lars-Erik.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xvii, 415 p. :digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Convex functions. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-78337-6
ISBN:	9783319783376

Convex functions and their applications = a contemporary aontemporary Approach /
Niculescu, Constantin P.

Convex functions and their applicationsa contemporary aontemporary Approach /[electronic resource] :by Constantin P. Niculescu, Lars-Erik Persson. - 2nd ed. - Cham :Springer International Publishing :2018. - xvii, 415 p. :digital ;24 cm. - CMS books in mathematics, ouvrages de mathematiques de la SMC,1613-5237. - CMS books in mathematics, ouvrages de mathematiques de la SMC..

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.

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-Polya-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.

ISBN: 9783319783376

Standard No.: 10.1007/978-3-319-78337-6doiSubjects--Topical Terms:

527742
Convex functions.

LC Class. No.: QA331.5 / .N538 2018

Dewey Class. No.: 515.882

Convex functions and their applications = a contemporary aontemporary Approach /
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245 1 0 $a Convex functions and their applications $h [electronic resource] : $b a contemporary aontemporary Approach / $c by Constantin P. Niculescu, Lars-Erik Persson.
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300 $a xvii, 415 p. : $b digital ; $c 24 cm.
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505 0 $a 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.
520 $a 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-Polya-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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