Convex Functions and Their Applications A Contemporary Approach /

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 ap...

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Bibliographic Details
Main Authors: Niculescu, Constantin P. (Author, http://id.loc.gov/vocabulary/relators/aut), Persson, Lars-Erik (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:2nd ed. 2018.
Series:CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • 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.