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

New Means of Cauchy's Type

Journal of Inequalities and Applications volume 2008, Article number: 163202 (2008) Cite this article

Abstract

We will introduce new means of Cauchy's type defined, for example, as in the case when , . We will show that this new Cauchy's mean is monotonic, that is, the following result. Theorem. Let , such that , . Then for , one has . We will also give some related comparison results.

Publisher note

To access the full article, please see PDF.

Author information

Authors and Affiliations

  1. Abdus Salam School of Mathematical Sciences, GC University, Lahore Gulberg, 54660, Pakistan

    Matloob Anwar & J. Pečarić

  2. Faculty of Textile Technology, University of Zagreb, 10000, Zagreb, Croatia

    J. Pečarić

Authors
  1. Matloob Anwar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Pečarić
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Matloob Anwar.

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

Anwar, M., Pečarić, J. New Means of Cauchy's Type. J Inequal Appl 2008, 163202 (2008). https://doi.org/10.1155/2008/163202

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2008/163202

Keywords