Properties of a class of mean dependent on a parameter

Abstract Some properties of a new class of binary symmetric mean Mp(a,b) $M_{p} (a,b)$ 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 p...

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Bibliographic Details
Main Author: Paul Bracken
Format: Article
Language:English
Published: SpringerOpen 2019-07-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2144-1