A Sharp Lower Bound for Toader-Qi Mean with Applications
We prove that the inequality TQ(a,b)>Lp(a,b) holds for all a,b>0 with a≠b if and only if p≤3/2, where TQ(a,b)=2/π∫0π/2acos2θbsin2θdθ, Lp(a,b)=[(bp-ap)/(p(b-a))]1/p (p≠0), and L0(a,b)=ab are, respectively, the Toader-Qi and p-order logarithmic means of a and b. As applications, we find two fin...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/4165601 |
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