Power type: Difference between revisions
From DispersiveWiki
Jump to navigationJump to search
No edit summary |
(No difference)
|
Revision as of 15:40, 8 August 2006
A nonlinear function is of power type with exponent if one has the bounds
(so in particular ) and
for all and some constant . Note that the first bound is a special case of the second once one assumes that . If F is continuously differentiable, then the second bound is equivalent to the bound
(possibly for a slightly different value of C.