IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-030-79431-6_4.html
   My bibliography  Save this book chapter

Series of Functions

In: Theory of Infinite Sequences and Series

Author

Listed:
  • Ludmila Bourchtein

    (Federal University of Pelotas, Institute of Physics and Mathematics)

  • Andrei Bourchtein

    (Federal University of Pelotas, Institute of Physics and Mathematics)

Abstract

In the same way as the theory of series of numbers is based on the theory of sequences of numbers, the methods and results of sequences of functions set the stage for development of the theory of series of functions. This logic connection between sequences and series follows from the fact that the initial definitions and fundamental concepts of series are introduced by means of sequences: a series is usually defined as a sum of all the elements of a given sequence and the convergence (of any kind) of a series is reduced to the convergence (of the corresponding kind) of the sequence of its partial sums.

Suggested Citation

  • Ludmila Bourchtein & Andrei Bourchtein, 2022. "Series of Functions," Springer Books, in: Theory of Infinite Sequences and Series, chapter 4, pages 191-237, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-79431-6_4
    DOI: 10.1007/978-3-030-79431-6_4
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-030-79431-6_4. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.