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: Inequalities Based on Sobolev Representations
  name:
    name part: Anastassiou, George A.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: IX, 65 p. online resource.
  abstract: Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Grüss, Ostrowski types and of integral means, all of which depend upon the Sobolev integral representations of functions. Applications illustrate inequalities that engage in ordinary and weak partial derivatives of the involved functions. This book also derives important estimates for the averaged Taylor polynomials and remainders of Sobolev integral representations. The results are examined in all directions and through both univariate and multivariate cases. This book is suitable for researchers, graduate students, and seminars in subareas of mathematical analysis, inequalities, partial differential equations and information theory.
  table of contents: Part 1. -Univariate Integral Inequalities based on Sobolev representations -- Introduction -- Background. -Main Results. -Applications -- References. Part 2 -- Multivariate Integral Inequalities deriving from Sobolev representations.-Introduction.-Background.-Main Results -- Applications, References.
  note: by George A. Anastassiou.
  subject:
    topic: Mathematics
  subject:
    topic: Functions of real variables
  subject:
    topic: Statistics
  subject:
    topic: Engineering design
  subject:
    topic: Mathematics
  subject:
    topic: Real Functions
  subject:
    topic: Statistics, general
  subject:
    topic: Engineering Design
  classification: QA331.5
  classification: 515.8
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: SpringerBriefs in Mathematics
  identifier: 9781461402015
  identifier: http://dx.doi.org/10.1007/978-1-4614-0201-5
  record info:
    record creation date: 110603
    record change date: 20151124021040.0
    record identifier: 978-1-4614-0201-5