02/17/2020, 10:51 PM

This is a joke right ?

If not remember that an infinite series of elementary functions is usually equal to a truncated finite sum of that series + the error term ... where the error term is usually also either very small or also elementary !!

This implies that already a finite amount of terms added is already a good approximation OR the special part is in the error term.

But when i see error terms smaller than log for the half-iterate of log , I get “ suspicious “.

Hence forgive my rude reaction.

Ofcourse if the coefficients are nontrivial we might do better , but in that case we probably get some self-reference and things like “ fake-function theory “.

Regards

Tommy1729

If not remember that an infinite series of elementary functions is usually equal to a truncated finite sum of that series + the error term ... where the error term is usually also either very small or also elementary !!

This implies that already a finite amount of terms added is already a good approximation OR the special part is in the error term.

But when i see error terms smaller than log for the half-iterate of log , I get “ suspicious “.

Hence forgive my rude reaction.

Ofcourse if the coefficients are nontrivial we might do better , but in that case we probably get some self-reference and things like “ fake-function theory “.

Regards

Tommy1729