IDEAS home Printed from https://ideas.repec.org/h/spr/spochp/978-1-4939-1286-5_1.html
   My bibliography  Save this book chapter

On Some Functional Equations

In: Handbook of Functional Equations

Author

Listed:
  • Marcin Adam

    (Silesian University of Technology)

  • Stefan Czerwik

    (Silesian University of Technology)

  • Krzysztof Król

    (Silesian University of Technology)

Abstract

This chapter consists of three parts. In the first part we consider so-called Adomian’s polynomials and present the proof of the convergence of the sequence of such polynomials to the solution of the equation. The second part is devoted to present several approximation methods for finding solutions of so-called Kordylewski–Kuczma functional equation. Finally, in the last one we present a stability result in the sense of Ulam–Hyers–Rassias for generalized quadratic functional equation on topological spaces.

Suggested Citation

  • Marcin Adam & Stefan Czerwik & Krzysztof Król, 2014. "On Some Functional Equations," Springer Optimization and Its Applications, in: Themistocles M. Rassias (ed.), Handbook of Functional Equations, edition 127, pages 1-35, Springer.
    • Handle: RePEc:spr:spochp:978-1-4939-1286-5_1
    DOI: 10.1007/978-1-4939-1286-5_1
    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 search for a similarly titled item that would be available.

    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:spochp:978-1-4939-1286-5_1. 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.