Sequences of Inequalities Among Differences of Gini Means and Divergence Measures

@inproceedings{Taneja2011SequencesOI,
  title={Sequences of Inequalities Among Differences of Gini Means and Divergence Measures},
  author={Inder Jeet Taneja},
  booktitle={ArXiv},
  year={2011}
}
Abstract In 1938, Gini [3] studied a mean having two parameters. Later, many authors studied properties of this mean. In particular, it contains the famous means as harmonic, geometric, arithmetic, etc. Here we considered a sequence of inequalities arising due to particular values of each parameter of Gini’s mean. This sequence generates many nonnegative differences. Not all of them are convex. We have established new sequences of inequalities of these differences. Some refinement inequalities… 

Refinement of Gini-Means Inequalities and Connections with Divergence Measures

TLDR
This paper has considered inequalities arising due to Gini-Mean and Heron's mean, and improved them based on the results recently studied by the author (Taneja, 2011).

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General Mathematics

  • Mathematics
    Nature
  • 1947
AS Mr. Durell rightly says in his preface, “elementary mathematics should be treated as a single subject”. The course embodies many modern ideas of teaching designed to meet the expanding and