Functions and Analysis

    

A General Definition of Means and Corresponding Inequalities

Authors: Pranjal Jain

This paper proves inequalities among generalised f-means and provides formal conditions which a function of several inputs must satisfy in order to be a `meaningful' mean. The inequalities we prove are generalisations of classical inequalities including the Jensen inequality and the inequality among the Quadratic and Pythagorean means. We also show that it is possible to have meaningful means which do not fall into the general category of f-means.

Comments: 18 Pages.

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Submission history

[v1] 2020-11-22 10:47:49
[v2] 2021-02-19 00:35:24

Unique-IP document downloads: 473 times

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