There exists an , such that for all (where )
For example powers (as long as you make them one-to-one by for example using an odd power, or defining them as for negative and for positive where ) are quasisymmetric. On the other hand functions like , while one-to-one, onto and continuous, are not quasisymmetric. It would seem like a very strict condition, however it has been shown that there in fact exist functions that are quasisymmetric, but are not even absolutely continuous.
Quasisymmetric functions are an analogue of quasiconformal mappings.
|Date of creation||2013-03-22 14:06:45|
|Last modified on||2013-03-22 14:06:45|
|Last modified by||jirka (4157)|