IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v486y2025ics0096300324005332.html
   My bibliography  Save this article

Analysis of α-fractal functions without boundary point conditions on the Sierpiński gasket

Author

Listed:
  • Gurubachan,
  • Chandramouli, V.V.M.S.
  • Verma, S.

Abstract

This note aims to manifest the existence of a class of α-fractal interpolation functions (α-FIFs) without boundary point conditions at the m-th level in the space consisting of continuous functions on the Sierpiński gasket (SG). Furthermore, we add the existence of the same class in the Lp space and energy space on SG. Under certain hypotheses, we show the existence of α-FIFs without boundary point conditions in the Hölder space and oscillation space on SG, and also calculate the fractal dimensions of their graphs.

Suggested Citation

  • Gurubachan, & Chandramouli, V.V.M.S. & Verma, S., 2025. "Analysis of α-fractal functions without boundary point conditions on the Sierpiński gasket," Applied Mathematics and Computation, Elsevier, vol. 486(C).
    • Handle: RePEc:eee:apmaco:v:486:y:2025:i:c:s0096300324005332
    DOI: 10.1016/j.amc.2024.129072
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300324005332
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2024.129072?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. S. Verma & A. Sahu, 2022. "Bounded Variation On The Sierpiåƒski Gasket," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(07), pages 1-12, November.
    2. Yu, Binyan & Liang, Yongshun, 2024. "On two special classes of fractal surfaces with certain Hausdorff and Box dimensions," Applied Mathematics and Computation, Elsevier, vol. 468(C).
    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. Gupta, Deepika & Pandey, Asheesh, 2024. "Analyzing impact of corporate governance index on working capital management through fractal functions," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    2. Verma, Shubham Kumar & Kumar, Satish, 2024. "Fractal dimension analysis of financial performance of resulting companies after mergers and acquisitions," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    3. Kumar, Anuj & Verma, Shubham Kumar & Boulaaras, Salah Mahmoud, 2024. "On α-fractal functions and their applications to analyzing the S&P BSE Sensex in India," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    4. Anuj Kumar & Salah Boulaaras & Shubham Kumar Verma & Mohamed Biomy, 2024. "Non-Stationary Fractal Functions on the Sierpiński Gasket," Mathematics, MDPI, vol. 12(22), pages 1-11, November.

    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:apmaco:v:486:y:2025:i:c:s0096300324005332. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.