Volterra's function
- Author:
- Juan Carlos Ponce Campuzano
- Topic:
- Derivative
Volterra in 1881, proved that there exists a function, whose derivative exists and is bounded for all , however, the derivative is not Riemann integrable. Actually the derivative is discontinuous on a dense set with positive outer content.
It is a very complex function and it is not easy to make a representation. Here there is an approach.