Best Possible Inequalities between Generalized Logarithmic Mean and Classical Means
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)<Aα(a,b)Gβ(a,b)Hγ(a,b)<Lq(a,b) holds for all a,b>0 with a≠b? Here Lp(a,b), A(a,b), G(a,b), and H(a,b) denote the generalized logarithmic, arithme...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/303286 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|