Characterization of homogeneous symmetric monotone bivariate means

Résumé

In this paper, we introduce a class of bivariate means generated by an integral of a continuous increasing function on $(0,+\infty)$ . 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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