| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4622393 | Journal of Mathematical Analysis and Applications | 2007 | 13 Pages |
Abstract
The invariance of the geometric mean G with respect to the Lagrangian mean-type mapping (Lf,Lg), i.e. the equation G○(Lf,Lg)=G, is considered. We show that the functions f and g must be of high class regularity. This fact allows to reduce the problem to a differential equation and determine the second derivatives of the generators f and g.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
