Re: To Greg Re: [math-fun] extend exp(x) for quickly convergent Fourier series

Dan Asimov wrote:

Hi, Greg.

Interesting type of question!

Do you have a specific way of measuring speed of convergence?

Regards,

Dan Asimov

We could choose the function, such that we need the fewest number of terms in the truncation of the Fourier series, so that the uniform norm of the difference between the Fourier "polynomial" and exp(x) is less than a given value epsilon, say epsilon=1/2^11 for "computer graphics" accuracy.