Sharp Power Mean Bounds for Sándor Mean
We prove that the double inequality Mp(a,b)<X(a,b)<Mq(a,b) holds for all a,b>0 with a≠b if and only if p≤1/3 and q≥log 2/(1+log 2)=0.4093…, where X(a,b) and Mr(a,b) are the Sándor and rth power means of a and b, respectively.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/172867 |
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