Best Possible Bounds for Neuman-Sándor Mean by the Identric, Quadratic and Contraharmonic Means
We prove that the double inequalities Iα1(a,b)Q1-α1(a,b)<M(a,b)<Iβ1(a,b)Q1-β1(a,b),Iα2(a,b)C1-α2(a,b)<M(a,b)<Iβ2(a,b)C1-β2(a,b) hold for all a,b>0 with a≠b if and only if α1≥1/2, β1≤log[2log(1+2)]/(1-log2), α2≥5/7, and β2≤log[2log(1+2)], where I(a,b), M(a,b), Q(a,b), and C(a,b) are th...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/348326 |