IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v166y2023ics0960077922011675.html
   My bibliography  Save this article

Fractal interpolation function on products of the Sierpiński gaskets

Author

Listed:
  • Prasad, S.A.
  • Verma, S.

Abstract

In this paper, we aim to construct fractal interpolation functions (FIFs) on the product of two Sierpiński gaskets. Further, we collect some results regarding smoothness of the constructed FIFs. We prove, in particular, that the FIFs are Hölder functions under specific conditions. In the final section, we obtain some bounds on the fractal dimensions of FIFs.

Suggested Citation

  • Prasad, S.A. & Verma, S., 2023. "Fractal interpolation function on products of the Sierpiński gaskets," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    • Handle: RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922011675
    DOI: 10.1016/j.chaos.2022.112988
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922011675
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.112988?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Prasad, Srijanani Anurag, 2013. "Node insertion in Coalescence Fractal Interpolation Function," Chaos, Solitons & Fractals, Elsevier, vol. 49(C), pages 16-20.
    2. Srijanani Anurag Prasad, 2021. "Super Coalescence Hidden-Variable Fractal Interpolation Functions," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(03), pages 1-9, May.
    3. XueZai Pan, 2014. "Fractional Calculus of Fractal Interpolation Function on," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ri, Mi-Gyong & Yun, Chol-Hui, 2022. "Riemann-Liouville fractional derivatives of hidden variable recurrent fractal interpolation functions with function scaling factors and box dimension," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    2. Liu, Chiao-Wen & Luor, Dah-Chin, 2023. "Applications of fractal interpolants in kernel regression estimations," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. Ri, Mi-Gyong & Yun, Chol-Hui & Kim, Myong-Hun, 2021. "Construction of cubic spline hidden variable recurrent fractal interpolation function and its fractional calculus," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    4. Ri, Mi-Gyong & Yun, Chol-Hui, 2020. "Riemann Liouville fractional integral of hidden variable fractal interpolation function," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).

    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:eee:chsofr:v:166:y:2023:i:c:s0960077922011675. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.