IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2011y2011i1n832630.html

(2n − 1)‐Point Ternary Approximating and Interpolating Subdivision Schemes

Author

Listed:
  • Muhammad Aslam
  • Ghulam Mustafa
  • Abdul Ghaffar

Abstract

We present an explicit formula which unifies the mask of (2n − 1)‐point ternary interpolating as well as approximating subdivision schemes. We observe that the odd point ternary interpolating and approximating schemes introduced by Lian (2009), Siddiqi and Rehan (2010, 2009) and Hassan and Dodgson (2003) are special cases of our proposed masks/schemes. Moreover, schemes introduced by Zheng et al. (2009) can easily be generated by our proposed masks. It is also proved from comparison that (2n − 1)‐point schemes are better than 2n‐scheme in the sense of computational cost, support and error bounds.

Suggested Citation

  • Muhammad Aslam & Ghulam Mustafa & Abdul Ghaffar, 2011. "(2n − 1)‐Point Ternary Approximating and Interpolating Subdivision Schemes," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnljam:v:2011:y:2011:i:1:n:832630
    DOI: 10.1155/2011/832630
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2011/832630
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2011/832630?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
    ---><---

    References listed on IDEAS

    as
    1. Ghulam Mustafa & Faheem Khan, 2009. "A New 4-Point Quaternary Approximating Subdivision Scheme," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-14, June.
    2. Ghulam Mustafa & Faheem Khan, 2009. "A New 4‐Point C3 Quaternary Approximating Subdivision Scheme," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    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. Aamir Shahzad & Faheem Khan & Abdul Ghaffar & Shao-Wen Yao & Mustafa Inc & Shafqat Ali, 2021. "A Novel Numerical Method for Computing Subdivision Depth of Quaternary Schemes," Mathematics, MDPI, vol. 9(8), pages 1-20, April.
    2. Sardar Muhammad Hussain & Aziz Ur Rehman & Dumitru Baleanu & Kottakkaran Sooppy Nisar & Abdul Ghaffar & Samsul Ariffin Abdul Karim, 2020. "Generalized 5-Point Approximating Subdivision Scheme of Varying Arity," Mathematics, MDPI, vol. 8(4), pages 1-25, March.
    3. Ghulam Mustafa & Syeda Tehmina Ejaz, 2014. "Numerical Solution of Two‐Point Boundary Value Problems by Interpolating Subdivision Schemes," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

    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:wly:jnljam:v:2011:y:2011:i:1:n:832630. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    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.