An Optimal Two Parameter Bounds for the Identric Mean
Omran Kouba
TL;DR
This paper derives sharp bounds for the identric mean using a two-parameter family of means, extending previous bounds and providing a more general framework for understanding the mean's properties.
Contribution
It introduces a new two-parameter family of bounds for the identric mean, generalizing and extending prior results in the literature.
Findings
Established sharp bounds for the identric mean
Generalized previous bounds by Chu et al. and Wang et al.
Enhanced understanding of the inequalities involving the identric mean
Abstract
In this note we obtain sharp bounds for the identric mean in terms of a two parameter family of means. Our results generalize and extend recent bounds due to Y. M. Chu & al. (2011), and to M.-K. Wang & al. (2012).
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Mathematical functions and polynomials