Best Possible Inequalities between Generalized Logarithmic Mean and Classical Means

Yu-Ming Chu and Bo-Yong Long

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: We answer the question: for α, β, γ ∈ (0,1) with α + β + γ = 1, what are the greatest value p and the least value q, such that the double inequality Lp(a, b) 0 with a ≠ b? Here Lp(a, b), A(a, b), G(a, b), and H(a, b) denote the generalized logarithmic, arithmetic, geometric, and harmonic means of two positive numbers a and b, respectively.

Date: 2010
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2010/303286

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:303286

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().