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  • Research Article
  • Open Access

New Means of Cauchy's Type

Journal of Inequalities and Applications20082008:163202

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

  • Received: 30 December 2007
  • Accepted: 7 April 2008
  • Published:

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.

Keywords

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Publisher note

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Authors’ Affiliations

(1)
Abdus Salam School of Mathematical Sciences, GC University, Lahore Gulberg, 54660, Pakistan
(2)
Faculty of Textile Technology, University of Zagreb, 10000 Zagreb, Croatia

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