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On the Intersection of Some Families of Means

School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
Publication Date
  • 0101 Pure Mathematics
  • Research Group In Mathematical Inequalities And Applications (Rgmia)


Alzer and Ruscheweyh have shown that any mean that is simultaneously a Gini and a Stolarsky mean belongs to the family of power means. We extend this result by proving analogous result for a broad class of two-parameter means, called S-means.

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