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: Classical Summability Theory
  name:
    name part: Natarajan, P.N.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: si
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 130 p. online resource.
  abstract: This book presents results about certain summability methods, such as the Abel method, the Norlund method, the Weighted mean method, the Euler method and the Natarajan method, which have not appeared in many standard books. It proves a few results on the Cauchy multiplication of certain summable series and some product theorems. It also proves a number of Steinhaus type theorems. In addition, it introduces a new definition of convergence of a double sequence and double series and proves the Silverman-Toeplitz theorem for four-dimensional infinite matrices, as well as Schur's and Steinhaus theorems for four-dimensional infinite matrices. The Norlund method, the Weighted mean method and the Natarajan method for double sequences are also discussed in the context of the new definition. Divided into six chapters, the book supplements the material already discussed in G.H.Hardy's Divergent Series. It appeals to young researchers and experienced mathematicians who wish to explore new areas in Summability Theory.
  table of contents: Chapter 1. Brief Introduction, General Summability Theory and Steinhaus Type Theorems -- Chapter 2. Core of a Sequence and the Matrix Class -- Chapter 3. Special Summability Methods -- Chapter 4. More Properties of the Method and Cauchy Multiplication of Certain Summable Series -- Chapter 5. The Silverman-Toeplitz, Schur's and Steinhaus Theorems for 4-dimensional Infinite Matrices -- Chapter 6. The Norlund, Weighted Mean and Methods for Double Sequences.
  note: by P.N. Natarajan.
  subject:
    topic: Mathematics
  subject:
    topic: Matrix theory
  subject:
    topic: Algebra
  subject:
    topic: Functional analysis
  subject:
    topic: Sequences (Mathematics)
  subject:
    topic: Mathematics
  subject:
    topic: Sequences, Series, Summability
  subject:
    topic: Linear and Multilinear Algebras, Matrix Theory
  subject:
    topic: Functional Analysis
  classification: QA292
  classification: QA295
  classification: 515.24
  related item:
    title info:
      title: Springer eBooks
  identifier: 9789811042058
  identifier: http://dx.doi.org/10.1007/978-981-10-4205-8
  record info:
    record creation date: 170427
    record change date: 20170427064657.0
    record identifier: 978-981-10-4205-8