IDEAS home Printed from https://ideas.repec.org/h/spr/spochp/978-3-030-27407-8_2.html
   My bibliography  Save this book chapter

Error Estimates of Approximations for the Complex Valued Integral Transforms

In: Differential and Integral Inequalities

Author

Listed:
  • Andrea Aglić Aljinović

    (University of Zagreb, Faculty of Electrical Engineering and Computing)

Abstract

In this survey paper error estimates of approximations in complex domain for the Laplace and Mellin transform are given for functions f which vanish beyond a finite domain a , b ⊂ 0 , ∞ $$\left [ a,b\right ] \subset \left [ 0,\infty \right \rangle $$ and whose derivative belongs to L p a , b $$L_{p}\left [ a,b \right ] $$ . New inequalities involving integral transform of f, integral mean of f and exponential and logarithmic mean of the endpoints of the domain of f are presented. These estimates enable us to obtain two associated numerical quadrature rules for each transform and error bounds of their remainders.

Suggested Citation

  • Andrea Aglić Aljinović, 2019. "Error Estimates of Approximations for the Complex Valued Integral Transforms," Springer Optimization and Its Applications, in: Dorin Andrica & Themistocles M. Rassias (ed.), Differential and Integral Inequalities, pages 21-47, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-27407-8_2
    DOI: 10.1007/978-3-030-27407-8_2
    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.

    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:spochp:978-3-030-27407-8_2. 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.