Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly ...

It is sometimes necessary to perform linear interpolation or “blending” of two vectors. For example, this is done to “mix” two audio waveforms or blend two images. The equation is: For each element of ...

Taylor's formula may be looked upon as a one-point interpolation formula with remainder. In 1906, Birkhoff used this simple observation to make a unified approach to the various interpolation and ...