Best Possible Bounds for Yang Mean Using Generalized Logarithmic Mean
We prove that the double inequality Lp(a,b)<U(a,b)<Lq(a,b) holds for all a,b>0 with a≠b if and only if p≤p0 and q≥2 and find several sharp inequalities involving the trigonometric, hyperbolic, and inverse trigonometric functions, where p0=0.5451⋯ is the unique solution of the equation (p+1)...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2016-01-01
|
| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/8901258 |