Properties of a class of mean dependent on a parameter

Authors

Paul Bracken, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

7-19-2019

Abstract

Some properties of a new class of binary symmetric mean Mp(a,b) which depends on two positive numbers a and b, as well as a positive parameter p, are investigated. The logarithmic mean and arithmetic mean are two members of this class. It is shown that, for all values of the parameter p, the set of p-dependent means Mp(a,b) is bounded above by the mean M∞(a,b).

Comments

Copyright © 2019, The Author(s)

Recommended Citation

Bracken, P. Properties of a class of mean dependent on a parameter. J Inequal Appl 2019, 197 (2019). https://doi.org/10.1186/s13660-019-2144-1

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

J Inequal Appl

DOI

10.1186/s13660-019-2144-1