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CMS Books in Mathematics

Convex Functions and Their Applications

A Contemporary Approach

Authors: Niculescu, Constantin, Persson, Lars-Erik

  • Contains applications in mathematics, engineering, economics, and optimization theory
  • Can be used as a research monograph or a graduate textbook
  • Thorough update of reference list
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Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-319-78337-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA in USD
  • ISBN 978-3-319-78336-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

Constantin P. Niculescu is professor emeritus at the University of Craiova, Romania, and a member of the Academy of Romanian Scientists. He received his Ph.D. from the University of Bucharest in 1974. He published more than one hundred papers and several books in functional analysis, operator theory, convex analysis, ergodic theory, history and heuristics of mathematics and has received several prizes both for research and exposition. 

Lars-Erik Persson is a Professor of Mathematics at Luleå University of Technology, Sweden, and also at UiT, The Artic University of Norway. He is honorary Professor at Eurasian National University, Kazakhstan, and he has served as President of the Swedish Mathematical Society. He received his doctorate from Umeå University in 1974. Dr. Persson has published around 300 papers on functional analysis, interpolation of operators, Fourier analysis, function theory, inequalities and homogenization theory. He has been a supervisor for 62 students with PhD exams and he has received several awards both for research and teaching.

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Table of contents (7 chapters)

  • Convex Functions on Intervals

    Niculescu, Constantin P. (et al.)

    Pages 1-70

  • Convex Sets in Real Linear Spaces

    Niculescu, Constantin P. (et al.)

    Pages 71-106

  • Convex Functions on a Normed Linear Space

    Niculescu, Constantin P. (et al.)

    Pages 107-184

  • Convexity and Majorization

    Niculescu, Constantin P. (et al.)

    Pages 185-226

  • Convexity in Spaces of Matrices

    Niculescu, Constantin P. (et al.)

    Pages 227-254

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-319-78337-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA in USD
  • ISBN 978-3-319-78336-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Convex Functions and Their Applications
Book Subtitle
A Contemporary Approach
Authors
Series Title
CMS Books in Mathematics
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-78337-6
DOI
10.1007/978-3-319-78337-6
Hardcover ISBN
978-3-319-78336-9
Series ISSN
1613-5237
Edition Number
2
Number of Pages
XVII, 415
Topics