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Convex functions and their applications = a contemporary approach /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Convex functions and their applications/ by Constantin P. Niculescu, Lars-Erik Persson.
其他題名:	a contemporary approach /
作者:	Niculescu, Constantin.
其他作者:	Persson, Lars-Erik.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xxii, 494 p. :ill. (some col.), digital ;24 cm.
內容註:	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
標題:	Convex functions. -
電子資源:	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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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.
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