What does it mean for a continuous function $ f $ on $ \mathbb{R} $ to be Hölder continuous with exponent $ \alpha $ at a point $ x_0 $ ?
I only now the global definition:
A function $ f $ on $ \mathbb{R} $ is (globally) Hölder continuous with exponent $ \alpha $ if
$$ \sup_{x \neq y} \frac{| f(x) – f(y) |}{ |x – y|^\alpha} < + \infty $$
Thanks for the clarification!
Regards, Si
Best Answer
as far as I remember, one calls $f$