
Re: Is it possible to bound these functions?
Posted:
Apr 5, 2013 6:41 AM


Hi William,
The problem restated...
Define A{f(x)} as a mapping from the set of functions defined on the interval [0,1] to the Reals.
The functions are as "nice, smooth and integrable" as you may need them to be.
A{f(x)} = [ int cos(int f(t) t=0..x) x=0..1 ]^2 + [ int sin(int f(t) t=0..x) x=0..1 ]^2
Given that a <= f(x) <= b, can it be shown that A{a} => A{f(x)} => A{b} ?
Cheers, Brad

