Sharp Bounds for Power Mean in Terms of Generalized Heronian Mean
For 1<r<+∞, we find the least value α and the greatest value β such that the inequality Hα(a,b)<Ar(a,b)<Hβ(a,b) holds for all a,b>0 with a≠b. Here, Hω(a,b) and Ar(a,b) are the generalized Heronian and the power 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/10.1155/2011/679201 |
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