A Sharp Double Inequality between Harmonic and Identric Means
We find the greatest value p and the least value q in (0,1/2) such that the double inequality H(pa+(1-p)b,pb+(1-p)a)<I(a,b)<H(qa+(1-q)b,qb+(1-q)a) holds for all a,b>0 with a≠b. Here, H(a,b), and I(a,b) denote the harmonic and identric means of two positive numbers a and b, respectively.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/657935 |
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