There are the following types of interpolation:
- polynomial interpolation
- trigonometric interpolation.
There are also the following types of numerical series:
- Taylor series, as a power series
- Fourier series, as a trigonometric series.
It feels like there is a link between the concepts of interpolation and numerical series. Is it just a coincidence, or it is more to say about it? I mean, given a series, can we plug the corresponding basis functions into an interpolation task?