IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/474089.html
   My bibliography  Save this article

Analysis of Numerical Measure and Numerical Integration Based on Measure

Author

Listed:
  • Yinkun Wang
  • Jianshu Luo
  • Xiangling Chen

Abstract

We present a convergence analysis for a general numerical method to estimate measure function. By combining Lagrange interpolation, we propose a specific method for approximating the measure function and analyze the convergence order. Further, we analyze the error bound of numerical measure integration and prove that the numerical measure integration can decrease the singularity for singular integrals. Numerical examples are presented to confirm the theoretical results.

Suggested Citation

  • Yinkun Wang & Jianshu Luo & Xiangling Chen, 2013. "Analysis of Numerical Measure and Numerical Integration Based on Measure," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, December.
    • Handle: RePEc:hin:jnlaaa:474089
    DOI: 10.1155/2013/474089
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2013/474089.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2013/474089.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/474089?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
    ---><---

    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:jnlaaa:474089. 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.