Two Sharp Inequalities for Power Mean, Geometric Mean, and Harmonic Mean
For p∈R, the power mean of order p of two positive numbers a and b is defined by Mp(a,b)=((ap+bp)/2)1/p,p≠0,  and  Mp(a,b)=ab,   p=0. In this paper, we establish two sharp inequalities as follows: (2/3)G(a,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/741923 |