Consider two functions f, g that take on values at t=0, t=1, t=2.
Then the total error between them is:
total error = mod(f(0)-g(0)) + mod(f(1)-g(1)) + mod(f(2)-g(2))
where mod is short for module.
This seems reasonable enough.
Now, consider the two functions to be continuous on [0,2].
What is the total error now?
My guess is that it is the integral of the absolute value of their difference divided by the length of the interval:
total error =1/2 * integral from 0 to 2 of mod(f(x)-g(x)) dx
Is this right?
Or is the error evaluation done in a different way?
Then the total error between them is:
total error = mod(f(0)-g(0)) + mod(f(1)-g(1)) + mod(f(2)-g(2))
where mod is short for module.
This seems reasonable enough.
Now, consider the two functions to be continuous on [0,2].
What is the total error now?
My guess is that it is the integral of the absolute value of their difference divided by the length of the interval:
total error =1/2 * integral from 0 to 2 of mod(f(x)-g(x)) dx
Is this right?
Or is the error evaluation done in a different way?