Optimal embeddings of Sobolev type spaces into spaces of continuous functions are established. On extending the classical Morrey embedding on the Hölder continuity of functions with weak derivatives ...

In the space of continuous functions of a real variable, the set of nowhere differentiable functions has long been known to be topologically "generic". In this paper it is shown further that in a ...

Q1. Shown below are the graph of two functions What can one conclude from the above graphs? 1) The product of a differentiable function and a non-differentiable function is ALWAYS differentiable.