SophieToft
New member
- Joined
- Oct 3, 2006
- Messages
- 17
I got a third a final question:
3) Show that \(\displaystyle u_1,\,u_2\, \in\, S\) are \(\displaystyle \left\|\,\int_{u_1} ^{u_2}\, f(u)\, dt\,\right\|\,\, \leq\,\, \left|\, \int_{u_1} ^{u_2}\, ||\,f(u)\,||\, dt\,\right|\).
I know that I'm suppose to use Riemann sums and show that f is integreatable at interval [u1, u2]. But from there I'm not sure what to do.
Any ideas?
Sincerley Yours
Sophie Toft
3) Show that \(\displaystyle u_1,\,u_2\, \in\, S\) are \(\displaystyle \left\|\,\int_{u_1} ^{u_2}\, f(u)\, dt\,\right\|\,\, \leq\,\, \left|\, \int_{u_1} ^{u_2}\, ||\,f(u)\,||\, dt\,\right|\).
I know that I'm suppose to use Riemann sums and show that f is integreatable at interval [u1, u2]. But from there I'm not sure what to do.
Any ideas?
Sincerley Yours
Sophie Toft