- #1

- 112

- 0

[tex]|| f^{(n)} (x) || \leq c n! || f(x) ||[/tex],

where

[tex]|| f ||^2=\int_a^b{|f|^2}dx[/tex]

and [tex]f^{(n)}[/tex] denotes the nth derivative.

I tried to use the Taylor series, and then manipulated some inequalities, but I wasn't getting anywhere.

Any ideas?

Thanks