|
|||||
|
|
|
|
|
|
|
|
|
Note on the
inequality of the arithmetic and geometric means
Hao Zhi Chuan |
|
Vol. 143 (1990), No. 1, 43–46
|
Abstract |
|
We show how to insert a continuum of additional terms (defined by an integral and depending on an arbitrary positive parameter) between the two sides of the generalized arithmetic-geometric mean inequality with weights. Applications give an inequality involving positive definite matrices and also a refinement of the inequality connecting the inscribed and circumscribed radii of a triangle. |
Mathematical Subject Classification 2000
Primary: 26D15
Secondary: 15A45
|
Milestones
Received: 15 July 1988
Published: 1 May 1990
|
Authors |
| Hao Zhi Chuan | |
|
