Your blog is wonderful. I have learnt much from it.

I have a question regarding your answer on math.stackexchange.com https://math.stackexchange.com/a/2260325/64809. I would very much appreciate it if you could answer it.

For the sake of clarity, I quote my question here:

Could you please write out the detailed proof of the existence of a continuous function ? You claim that the existence of such a continuous function follows from the uniform convexity of . It is not clear to me. In addition, given that such continuous exists, it is not clear to me why your statement regarding Equation (2) should hold, if . Essentially you seem to claim which is in general wrong.

Hans

]]>