Thread: critical value

Hello,

I try to define a function , with , s.t. f is smooth and has a critical value in and .

Can you please help me? I try it with a lot functions, like this:

If we first assume that q< p:

for a+1>t>a and f(t)=q for t=a

but it doesn't work.

Ok this function is smooth and has a critical value at q. But not in p.

Thanks in advance!

This might be what you are looking for:
Mollifier - Wikipedia, the free encyclopedia