- #1
johnson12
- 18
- 0
I'm having trouble with this inequality:
let f be (real valued) continuously differentiable on [0,1] with f(0)=0, prove that
sup[tex]_{x\in[0,1]}[/tex] [tex]\left|f(x)\right|[/tex] [tex]\leq[/tex] [tex]\int^{1}_{0}\left|f\acute{}(x)\right| dx [/tex]
Thanks for any help.
let f be (real valued) continuously differentiable on [0,1] with f(0)=0, prove that
sup[tex]_{x\in[0,1]}[/tex] [tex]\left|f(x)\right|[/tex] [tex]\leq[/tex] [tex]\int^{1}_{0}\left|f\acute{}(x)\right| dx [/tex]
Thanks for any help.