IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v42y1996i1p35-45.html
   My bibliography  Save this article

On linear interpolation under interval data

Author

Listed:
  • Markov, S.
  • Popova, E.
  • Schneider, U.
  • Schulze, J.

Abstract

Some results related to the problem of interpolation of n vertical segments (xk, Yk), k = 1,…,n, in the plane with generalized polynomial functions that are linear combinations of m basic functions are presented. It is proved that the set of interpolating functions (if not empty) is bounded in every subinterval (xk, xk+1) by two unique such functions ηk− and ηk+. An algorithm with result verification for the determination of the boundary functions ηk−, ηk+ and for their effective tabulation is reported and some examples are discussed.

Suggested Citation

  • Markov, S. & Popova, E. & Schneider, U. & Schulze, J., 1996. "On linear interpolation under interval data," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 42(1), pages 35-45.
    • Handle: RePEc:eee:matcom:v:42:y:1996:i:1:p:35-45
    DOI: 10.1016/0378-4754(95)00110-7
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378475495001107
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/0378-4754(95)00110-7?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.

    Citations

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


    Cited by:

    1. Hendrickx, Wouter & Deschrijver, Dirk & Knockaert, Luc & Dhaene, Tom, 2009. "Magnitude Vector Fitting to interval data," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(3), pages 572-580.

    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:eee:matcom:v:42:y:1996:i:1:p:35-45. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.