My professor did not discuss this topic in class but it came up in his notes. Any help would be appreciated.
He states that a function satisfies a Holder condition of order , if there are constants and , such that for all and .
Now, if is Holder, prove that is uniformly continuous.
Well I have never heard of Lipschitz functions and we never talked about them in class but I looked it up and it seems to be exactly the same type of problem that I have here. Could you point me in the direction on hoe to use it? I found a proof similar to this...Does it work?
This implies
.