IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v162y2022ics0960077922007081.html
   My bibliography  Save this article

Fractal interpolation over nonlinear partitions

Author

Listed:
  • Massopust, Peter R.

Abstract

This paper introduces the fractal interpolation problem defined over domains with a nonlinear partition. This setting generalizes known methodologies regarding fractal functions and provides a new holistic approach to fractal interpolation. In this context, perturbations of nonlinear partition functions are considered and sufficient conditions for the existence of a unique solution of the underlying fractal interpolation problem for some classes of function spaces are given.

Suggested Citation

  • Massopust, Peter R., 2022. "Fractal interpolation over nonlinear partitions," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    • Handle: RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922007081
    DOI: 10.1016/j.chaos.2022.112503
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922007081
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.112503?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. Bandt, Christoph & Barnsley, Michael & Hegland, Markus & Vince, Andrew, 2016. "Old wine in fractal bottles I: Orthogonal expansions on self-referential spaces via fractal transformations," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 478-489.
    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. Sánchez-Granero, M.A. & Fernández-Martínez, M., 2019. "Irreducible fractal structures for Moran type theorems," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 29-36.
    2. Barnsley, Louisa F. & Barnsley, Michael F. & Vince, Andrew, 2024. "Tiling iterated function systems," Chaos, Solitons & Fractals, Elsevier, vol. 182(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:162:y:2022:i:c:s0960077922007081. 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.