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Convex functions and their applicati...

Niculescu, Constantin P.

Convex functions and their applicationsa contemporary aontemporary Approach /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Convex functions and their applicationsby Constantin P. Niculescu, Lars-Erik Persson.
其他題名:	a contemporary aontemporary Approach /
作者:	Niculescu, Constantin P.
其他作者:	Persson, Lars-Erik.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xvii, 415 p. :digital ;24 cm.
Contained By:	Springer eBooks
標題:	Convex functions.
電子資源:	http://dx.doi.org/10.1007/978-3-319-78337-6
ISBN:	9783319783376$q(electronic bk.)

Convex functions and their applicationsa 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$q(electronic bk.)

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

191128
Convex functions.

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

Dewey Class. No.: 515.882

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