rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Convex Functions and Their Applications
    sub title: A Contemporary Approach
  name:
    name part: Niculescu, Constantin P.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Persson, Lars-Erik.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2018
    edition: 2nd ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVII, 415 p. online resource.
  abstract: 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.
  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.
  note: by Constantin P. Niculescu, Lars-Erik Persson.
  subject:
    topic: Functions of real variables
  subject:
    topic: Functional analysis
  subject:
    topic: Convex geometry
  subject:
    topic: Discrete geometry
  subject:
    topic: Real Functions
  subject:
    topic: Functional Analysis
  subject:
    topic: Convex and Discrete Geometry
  classification: QA331.5
  classification: 515.8
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC
  identifier: 9783319783376
  identifier: https://doi.org/10.1007/978-3-319-78337-6
  record info:
    record creation date: 180608
    record change date: 20191026012255.0
    record identifier: 978-3-319-78337-6