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: Convergence Methods for Double Sequences and Applications
  name:
    name part: Mursaleen, M.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Mohiuddine, S.A.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: ii
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: IX, 171 p. online resource.
  abstract: This book exclusively deals with the study of almost convergence and statistical convergence of double sequences. The notion of “almost convergence” is perhaps the most useful notion in order to obtain a weak limit of a bounded non-convergent sequence. There is another notion of convergence known as the “statistical convergence”, introduced by H. Fast, which is an extension of the usual concept of sequential limits. This concept arises as an example of “convergence in density” which is also studied as a summability method. Even unbounded sequences can be dealt with by using this method. The book also discusses the applications of these non-matrix methods in approximation theory. Written in a self-contained style, the book discusses in detail the methods of almost convergence and statistical convergence for double sequences along with applications and suitable examples. The last chapter is devoted to the study convergence of double series and describes various convergence tests analogous to those of single sequences. In addition to applications in approximation theory, the results are expected to find application in many other areas of pure and applied mathematics such as mathematical analysis, probability, fixed point theory and statistics.
  table of contents: Chapter 1: Almost and statistical convergence of ordinary sequences: A preview -- Chapter 2: Almost convergence of double sequences -- Chapter 3: Almost regular matrices -- Chapter 4: Absolute almost convergence of double sequences -- Chapter 5: Almost convergence and core theorems -- Chapter 6: Application of almost convergence in approximation theorems for functions of two variables -- Chapter 7: Statistical convergence of double sequences -- Chapter 8: Statistical approximation of positive linear operators -- Chapter 9: Double series and convergence tests -- References.
  note: by M. Mursaleen, S.A. Mohiuddine.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Approximation theory
  subject:
    topic: Sequences (Mathematics)
  subject:
    topic: Mathematics
  subject:
    topic: Sequences, Series, Summability
  subject:
    topic: Approximations and Expansions
  subject:
    topic: Analysis
  classification: QA292
  classification: QA295
  classification: 515.24
  related item:
    title info:
      title: Springer eBooks
  identifier: 9788132216117
  identifier: http://dx.doi.org/10.1007/978-81-322-1611-7
  record info:
    record creation date: 131017
    record change date: 20151105191005.0
    record identifier: 978-81-322-1611-7