A function 
is Carathéodory differentiable at 
if there exists a function 
which is continuous
at 
such that
 |
Every function which is Carathéodory differentiable is also Fréchet differentiable.
Carathéodory Derivative
See also
Derivative, Fréchet DerivativeExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Carathéodory Derivative." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CaratheodoryDerivative.html