Sharp Bounds for Seiffert Mean in Terms of Contraharmonic Mean
We find the greatest value α and the least value β in (1/2,1) such that the double inequality C(αa+(1-α)b,αb+(1-α)a)<T(a,b)<Cβa+1-βb,βb+(1-βa) holds for all a,b>0 with a≠b. Here, T(a,b)=(a-b)/[2 arctan((a-b)/(a+b))] and Ca,b=(a2+b2)/(a+b) are the Seiffert and contraharmonic means of a and...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/425175 |