Thread: riemann integrable

A bounded real valued function on [0,1] which is not Riemann Stieljes integrable with respect to

Originally Posted by Chandru1

A bounded real valued function on [0,1] which is not Riemann Stieljes integrable with respect to

What's your question?

give an example

The characteristic function of the rationals.

how can we prove it.

Well, you can always look at the set of discontinuities - that is, if you've already done the criteria for Riemann integrability which says that a function is integrable if and only if its set of discontinuities has measure zero.