Author ORCID Identifier
Some new refinements of the arithmetic, geometric and harmonic mean inequalities are presented which improve on the inequalities of P. R. Mercer given in [5]. In addition, we present a new method to obtain inequalities. We discuss a few applications to probability theory and obtain bounds for certain central moments of positive random variables in terms of these means.
Document Type
Article
Publication Date
2016
Publication Title
Applied Mathematical Sciences
Volume
10
Issue
52
First Page
2553
Last Page
2569
Recommended Citation
From, Steven G. and Suthakaran, R., "Some New Refinements of the Arithmetic, Geometric and Harmonic Mean Inequalities with Applications" (2016). Mathematics Faculty Publications. 65.
https://digitalcommons.unomaha.edu/mathfacpub/65
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Comments
Copyright © 2016 Steven G. From and R. Suthakaran.