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Characterization of homogeneous symmetric monotone bivariate means
Journal article   Open access  Peer reviewed

Characterization of homogeneous symmetric monotone bivariate means

Mustapha Raissouli and Anis Rezgui
Journal of inequalities and applications, Vol.2016(1), pp.1-19
13/09/2016
DOI: https://doi.org/10.1186/s13660-016-1150-9

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we introduce a class of bivariate means generated by an integral of a continuous increasing function on (0,+infinity). This class of means widens the spectrum of possible means and leads to many easy and interesting mean-inequalities. We show that this class of means characterizes the large class of homogeneous symmetric monotone means.
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https://doi.org/10.1186/s13660-016-1150-9View
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