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Convex functions and their applications = a contemporary approach /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Convex functions and their applications/ by Constantin P. Niculescu, Lars-Erik Persson.
Reminder of title:	a contemporary approach /
Author:	Niculescu, Constantin.
other author:	Persson, Lars-Erik.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xxii, 494 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Convex functions. -
Online resource:	https://doi.org/10.1007/978-3-031-71967-7
ISBN:	9783031719677

Convex functions and their applications = a contemporary approach /
Niculescu, Constantin.

Convex functions and their applicationsa contemporary approach /[electronic resource] :by Constantin P. Niculescu, Lars-Erik Persson. - Third edition. - Cham :Springer Nature Switzerland :2025. - xxii, 494 p. :ill. (some col.), digital ;24 cm. - CMS/CAIMS books in mathematics,142730-6518 ;. - CMS/CAIMS books in mathematics ;14..

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.

This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years. These additions are essential for grasping the practical applications of convex function theory in solving contemporary real-world problems. To reflect these advancements, the material has been meticulously reorganized, with a greater emphasis on topics relevant to current research. Additionally, great care has been taken to ensure that the text remains accessible to a broad audience, including both students and researchers focused on the application of mathematics. Ideal for undergraduate courses, graduate seminars, or as a comprehensive reference, this book is an indispensable resource for those seeking to understand the extensive potential of convex function theory. In addition, this book: Can be used both as a research monograph or a graduate textbook Covers a vast array of various aspects, generalizations, applications and new research connected to convexity Contains in each subsection exercises which are useful both in courses and as a source of inspiration for new research.

ISBN: 9783031719677

Standard No.: 10.1007/978-3-031-71967-7doiSubjects--Topical Terms:

544201
Convex functions.

LC Class. No.: QA331.5 / .N54 2025

Dewey Class. No.: 515.882

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245 1 0 $a Convex functions and their applications $h [electronic resource] : $b a contemporary approach / $c by Constantin P. Niculescu, Lars-Erik Persson.
250 $a Third edition.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a xxii, 494 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a CMS/CAIMS books in mathematics, $x 2730-6518 ; $v 14
505 0 $a 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.
520 $a This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years. These additions are essential for grasping the practical applications of convex function theory in solving contemporary real-world problems. To reflect these advancements, the material has been meticulously reorganized, with a greater emphasis on topics relevant to current research. Additionally, great care has been taken to ensure that the text remains accessible to a broad audience, including both students and researchers focused on the application of mathematics. Ideal for undergraduate courses, graduate seminars, or as a comprehensive reference, this book is an indispensable resource for those seeking to understand the extensive potential of convex function theory. In addition, this book: Can be used both as a research monograph or a graduate textbook Covers a vast array of various aspects, generalizations, applications and new research connected to convexity Contains in each subsection exercises which are useful both in courses and as a source of inspiration for new research.
650 0 $a Convex functions. $3 544201
650 0 $a Functional analysis. $3 531838
650 0 $a Functions of real variables. $3 519429
650 0 $a Convex geometry. $3 567300
650 0 $a Discrete geometry. $3 728299
650 1 4 $a Real Functions. $3 891265
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Convex and Discrete Geometry. $3 893686
700 1 $a Persson, Lars-Erik. $3 736415
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950 $a Mathematics and Statistics (SpringerNature-11649)