IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/6343084.html
   My bibliography  Save this article

The Generalized Difference Operator Δi3 of Order Three and Its Domain in the Sequence Spaces ℓ1 and bv

Author

Listed:
  • Orhan TuÄŸ
  • Francisco J. Garcia Pacheco

Abstract

Most recently, the generalized difference operator Δi3 of order three was defined and its domain in Hahn sequence space h was calculated. In this paper, the spaces ℓ1Δi3 and bvΔi3 are introduced as the domain of generalized difference operator Δi3 of order three in the sequence spaces ℓ1 and bv. Then, some topological properties of ℓ1Δi3 and bvΔi3 are given, and some inclusion relations are shown. Additionally, algebraic dual, α−, β−, and γ− dual spaces of ℓ1Δi3 and bvΔi3 are computed. In the last section, the classes μΔi3:λ and λ:μΔi3 of matrix transformations are characterized, where μ=ℓ1,bv and λ=c,c0,ℓ1,ℓ∞,bs,cs,bv,h.

Suggested Citation

  • Orhan TuÄŸ & Francisco J. Garcia Pacheco, 2022. "The Generalized Difference Operator Δi3 of Order Three and Its Domain in the Sequence Spaces â„“1 and bv," Journal of Mathematics, Hindawi, vol. 2022, pages 1-13, February.
    • Handle: RePEc:hin:jjmath:6343084
    DOI: 10.1155/2022/6343084
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2022/6343084.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2022/6343084.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/6343084?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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:hin:jjmath:6343084. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.