The Optimal Convex Combination Bounds of Arithmetic and Harmonic Means for the Seiffert's Mean
We find the greatest value α and least value β such that the double inequality αA(a,b)+(1-α)H(a,b)<P(a,b)<βA(a,b)+(1-β)H(a,b) holds for all a,b>0 with a≠b. Here A(a,b), H(a,b), and...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2010/436457 |