IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/421340.html
   My bibliography  Save this article

About Nodal Systems for Lagrange Interpolation on the Circle

Author

Listed:
  • E. Berriochoa
  • A. Cachafeiro
  • J. M. García Amor

Abstract

We study the convergence of the Laurent polynomials of Lagrange interpolation on the unit circle for continuous functions satisfying a condition about their modulus of continuity. The novelty of the result is that now the nodal systems are more general than those constituted by the n roots of complex unimodular numbers and the class of functions is different from the usually studied. Moreover, some consequences for the Lagrange interpolation on [ - 1,1 ] and the Lagrange trigonometric interpolation are obtained.

Suggested Citation

  • E. Berriochoa & A. Cachafeiro & J. M. García Amor, 2012. "About Nodal Systems for Lagrange Interpolation on the Circle," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-11, February.
    • Handle: RePEc:hin:jnljam:421340
    DOI: 10.1155/2012/421340
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2012/421340.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2012/421340.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/421340?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Elías Berriochoa & Alicia Cachafeiro & Alberto Castejón & José Manuel García-Amor, 2020. "Classical Lagrange Interpolation Based on General Nodal Systems at Perturbed Roots of Unity," Mathematics, MDPI, vol. 8(4), pages 1-17, April.

    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:jnljam:421340. 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.