Skip to main content
Journal of Inequalities and Applications
Download PDF
  • Research Article
  • Open access
  • Published:

Some Generalized Error Inequalities and Applications

Journal of Inequalities and Applications volume 2008, Article number: 845934 (2008) Cite this article

Abstract

We present a family of four-point quadrature rule, a generalization of Gauss-two point, Simpson's , and Lobatto four-point quadrature rule for twice-differentiable mapping. Moreover, it is shown that the corresponding optimal quadrature formula presents better estimate in the context of four-point quadrature formulae of closed type. A unified treatment of error inequalities for different classes of function is also given.

Publisher note

To access the full article, please see PDF.

Author information

Authors and Affiliations

  1. Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, 60800, Pakistan

    Fiza Zafar

  2. Department of Mathematics, COMSATS Institute of Information Technology, Plot no. 30, Sector H-8/1, Islamabad, 44000, Pakistan

    Nazir Ahmad Mir

Authors
  1. Fiza Zafar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Nazir Ahmad Mir
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fiza Zafar.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Zafar, F., Mir, N.A. Some Generalized Error Inequalities and Applications. J Inequal Appl 2008, 845934 (2008). https://doi.org/10.1155/2008/845934

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2008/845934

Keywords